From 18dc436ebea0dfdcbf38865efe1d7ba6293fcc40 Mon Sep 17 00:00:00 2001 From: samkim-crypto Date: Fri, 26 Apr 2024 09:27:07 +0900 Subject: [PATCH] [zk-sdk] Add `errors`, `macros`, and `encryption` modules (#1019) * add `errors`, `macros`, and `encryption` modules * remove deprecated functions * remove `[macro-export]` * move `macros` into the `encryption` module --- Cargo.lock | 18 + zk-sdk/Cargo.toml | 18 + zk-sdk/src/encryption/auth_encryption.rs | 336 +++++ .../decode_u32_precomputation_for_G.bincode | Bin 0 -> 2228232 bytes zk-sdk/src/encryption/discrete_log.rs | 355 ++++++ zk-sdk/src/encryption/elgamal.rs | 1108 +++++++++++++++++ zk-sdk/src/encryption/grouped_elgamal.rs | 293 +++++ zk-sdk/src/encryption/macros.rs | 74 ++ zk-sdk/src/encryption/mod.rs | 20 + zk-sdk/src/encryption/pedersen.rs | 354 ++++++ zk-sdk/src/errors.rs | 32 + zk-sdk/src/lib.rs | 30 + 12 files changed, 2638 insertions(+) create mode 100644 zk-sdk/src/encryption/auth_encryption.rs create mode 100644 zk-sdk/src/encryption/decode_u32_precomputation_for_G.bincode create mode 100644 zk-sdk/src/encryption/discrete_log.rs create mode 100644 zk-sdk/src/encryption/elgamal.rs create mode 100644 zk-sdk/src/encryption/grouped_elgamal.rs create mode 100644 zk-sdk/src/encryption/macros.rs create mode 100644 zk-sdk/src/encryption/mod.rs create mode 100644 zk-sdk/src/encryption/pedersen.rs create mode 100644 zk-sdk/src/errors.rs diff --git a/Cargo.lock b/Cargo.lock index cf4519e8000228..21e35435fe4e87 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -7696,6 +7696,24 @@ dependencies = [ [[package]] name = "solana-zk-sdk" version = "2.0.0" +dependencies = [ + "aes-gcm-siv", + "base64 0.22.0", + "bincode", + "curve25519-dalek", + "itertools", + "lazy_static", + "rand 0.7.3", + "serde", + "serde_json", + "sha3 0.9.1", + "solana-program", + "solana-sdk", + "subtle", + "thiserror", + "tiny-bip39", + "zeroize", +] [[package]] name = "solana-zk-token-proof-program" diff --git a/zk-sdk/Cargo.toml b/zk-sdk/Cargo.toml index e9947113f74901..347ad4f3d9cae6 100644 --- a/zk-sdk/Cargo.toml +++ b/zk-sdk/Cargo.toml @@ -10,8 +10,26 @@ license = { workspace = true } edition = { workspace = true } [dependencies] +base64 = { workspace = true } +solana-program = { workspace = true } +thiserror = { workspace = true } [dev-dependencies] +tiny-bip39 = { workspace = true } + +[target.'cfg(not(target_os = "solana"))'.dependencies] +aes-gcm-siv = { workspace = true } +bincode = { workspace = true } +curve25519-dalek = { workspace = true, features = ["serde"] } +itertools = { workspace = true } +lazy_static = { workspace = true } +rand = { version = "0.7" } +serde = { workspace = true, features = ["derive"] } +serde_json = { workspace = true } +sha3 = "0.9" +solana-sdk = { workspace = true } +subtle = { workspace = true } +zeroize = { workspace = true, features = ["zeroize_derive"] } [lib] crate-type = ["cdylib", "rlib"] diff --git a/zk-sdk/src/encryption/auth_encryption.rs b/zk-sdk/src/encryption/auth_encryption.rs new file mode 100644 index 00000000000000..420f4fb7445aa3 --- /dev/null +++ b/zk-sdk/src/encryption/auth_encryption.rs @@ -0,0 +1,336 @@ +//! Authenticated encryption implementation. +//! +//! This module is a simple wrapper of the `Aes128GcmSiv` implementation specialized for SPL +//! token-2022 where the plaintext is always `u64`. +use { + crate::errors::AuthenticatedEncryptionError, + base64::{prelude::BASE64_STANDARD, Engine}, + sha3::{Digest, Sha3_512}, + solana_sdk::{ + derivation_path::DerivationPath, + signature::Signature, + signer::{ + keypair::generate_seed_from_seed_phrase_and_passphrase, EncodableKey, SeedDerivable, + Signer, SignerError, + }, + }, + std::{ + convert::TryInto, + error, fmt, + io::{Read, Write}, + }, + subtle::ConstantTimeEq, + zeroize::Zeroize, +}; +#[cfg(not(target_os = "solana"))] +use { + aes_gcm_siv::{ + aead::{Aead, NewAead}, + Aes128GcmSiv, + }, + rand::{rngs::OsRng, Rng}, +}; + +/// Byte length of an authenticated encryption secret key +pub const AE_KEY_LEN: usize = 16; + +/// Byte length of an authenticated encryption nonce component +const NONCE_LEN: usize = 12; + +/// Byte lenth of an authenticated encryption ciphertext component +const CIPHERTEXT_LEN: usize = 24; + +/// Byte length of a complete authenticated encryption ciphertext component that includes the +/// ciphertext and nonce components +const AE_CIPHERTEXT_LEN: usize = 36; + +struct AuthenticatedEncryption; +impl AuthenticatedEncryption { + /// Generates an authenticated encryption key. + /// + /// This function is randomized. It internally samples a 128-bit key using `OsRng`. + #[cfg(not(target_os = "solana"))] + fn keygen() -> AeKey { + AeKey(OsRng.gen::<[u8; AE_KEY_LEN]>()) + } + + /// On input of an authenticated encryption key and an amount, the function returns a + /// corresponding authenticated encryption ciphertext. + #[cfg(not(target_os = "solana"))] + fn encrypt(key: &AeKey, balance: u64) -> AeCiphertext { + let mut plaintext = balance.to_le_bytes(); + let nonce: Nonce = OsRng.gen::<[u8; NONCE_LEN]>(); + + // The balance and the nonce have fixed length and therefore, encryption should not fail. + let ciphertext = Aes128GcmSiv::new(&key.0.into()) + .encrypt(&nonce.into(), plaintext.as_ref()) + .expect("authenticated encryption"); + + plaintext.zeroize(); + + AeCiphertext { + nonce, + ciphertext: ciphertext.try_into().unwrap(), + } + } + + /// On input of an authenticated encryption key and a ciphertext, the function returns the + /// originally encrypted amount. + #[cfg(not(target_os = "solana"))] + fn decrypt(key: &AeKey, ciphertext: &AeCiphertext) -> Option { + let plaintext = Aes128GcmSiv::new(&key.0.into()) + .decrypt(&ciphertext.nonce.into(), ciphertext.ciphertext.as_ref()); + + if let Ok(plaintext) = plaintext { + let amount_bytes: [u8; 8] = plaintext.try_into().unwrap(); + Some(u64::from_le_bytes(amount_bytes)) + } else { + None + } + } +} + +#[derive(Debug, Zeroize, Eq, PartialEq)] +pub struct AeKey([u8; AE_KEY_LEN]); +impl AeKey { + /// Deterministically derives an authenticated encryption key from a Solana signer and a public + /// seed. + /// + /// This function exists for applications where a user may not wish to maintain a Solana signer + /// and an authenticated encryption key separately. Instead, a user can derive the ElGamal + /// keypair on-the-fly whenever encrytion/decryption is needed. + pub fn new_from_signer( + signer: &dyn Signer, + public_seed: &[u8], + ) -> Result> { + let seed = Self::seed_from_signer(signer, public_seed)?; + Self::from_seed(&seed) + } + + /// Derive a seed from a Solana signer used to generate an authenticated encryption key. + /// + /// The seed is derived as the hash of the signature of a public seed. + pub fn seed_from_signer( + signer: &dyn Signer, + public_seed: &[u8], + ) -> Result, SignerError> { + let message = [b"AeKey", public_seed].concat(); + let signature = signer.try_sign_message(&message)?; + + // Some `Signer` implementations return the default signature, which is not suitable for + // use as key material + if bool::from(signature.as_ref().ct_eq(Signature::default().as_ref())) { + return Err(SignerError::Custom("Rejecting default signature".into())); + } + + let mut hasher = Sha3_512::new(); + hasher.update(signature.as_ref()); + let result = hasher.finalize(); + + Ok(result.to_vec()) + } + + /// Generates a random authenticated encryption key. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + pub fn new_rand() -> Self { + AuthenticatedEncryption::keygen() + } + + /// Encrypts an amount under the authenticated encryption key. + pub fn encrypt(&self, amount: u64) -> AeCiphertext { + AuthenticatedEncryption::encrypt(self, amount) + } + + pub fn decrypt(&self, ciphertext: &AeCiphertext) -> Option { + AuthenticatedEncryption::decrypt(self, ciphertext) + } +} + +impl EncodableKey for AeKey { + fn read(reader: &mut R) -> Result> { + let bytes: [u8; AE_KEY_LEN] = serde_json::from_reader(reader)?; + Ok(Self(bytes)) + } + + fn write(&self, writer: &mut W) -> Result> { + let bytes = self.0; + let json = serde_json::to_string(&bytes.to_vec())?; + writer.write_all(&json.clone().into_bytes())?; + Ok(json) + } +} + +impl SeedDerivable for AeKey { + fn from_seed(seed: &[u8]) -> Result> { + const MINIMUM_SEED_LEN: usize = AE_KEY_LEN; + const MAXIMUM_SEED_LEN: usize = 65535; + + if seed.len() < MINIMUM_SEED_LEN { + return Err(AuthenticatedEncryptionError::SeedLengthTooShort.into()); + } + if seed.len() > MAXIMUM_SEED_LEN { + return Err(AuthenticatedEncryptionError::SeedLengthTooLong.into()); + } + + let mut hasher = Sha3_512::new(); + hasher.update(seed); + let result = hasher.finalize(); + + Ok(Self(result[..AE_KEY_LEN].try_into()?)) + } + + fn from_seed_and_derivation_path( + _seed: &[u8], + _derivation_path: Option, + ) -> Result> { + Err(AuthenticatedEncryptionError::DerivationMethodNotSupported.into()) + } + + fn from_seed_phrase_and_passphrase( + seed_phrase: &str, + passphrase: &str, + ) -> Result> { + Self::from_seed(&generate_seed_from_seed_phrase_and_passphrase( + seed_phrase, + passphrase, + )) + } +} + +impl From<[u8; AE_KEY_LEN]> for AeKey { + fn from(bytes: [u8; AE_KEY_LEN]) -> Self { + Self(bytes) + } +} + +impl From for [u8; AE_KEY_LEN] { + fn from(key: AeKey) -> Self { + key.0 + } +} + +impl TryFrom<&[u8]> for AeKey { + type Error = AuthenticatedEncryptionError; + fn try_from(bytes: &[u8]) -> Result { + if bytes.len() != AE_KEY_LEN { + return Err(AuthenticatedEncryptionError::Deserialization); + } + bytes + .try_into() + .map(Self) + .map_err(|_| AuthenticatedEncryptionError::Deserialization) + } +} + +/// For the purpose of encrypting balances for the spl token accounts, the nonce and ciphertext +/// sizes should always be fixed. +type Nonce = [u8; NONCE_LEN]; +type Ciphertext = [u8; CIPHERTEXT_LEN]; + +/// Authenticated encryption nonce and ciphertext +#[derive(Debug, Default, Clone)] +pub struct AeCiphertext { + nonce: Nonce, + ciphertext: Ciphertext, +} +impl AeCiphertext { + pub fn decrypt(&self, key: &AeKey) -> Option { + AuthenticatedEncryption::decrypt(key, self) + } + + pub fn to_bytes(&self) -> [u8; AE_CIPHERTEXT_LEN] { + let mut buf = [0_u8; AE_CIPHERTEXT_LEN]; + buf[..NONCE_LEN].copy_from_slice(&self.nonce); + buf[NONCE_LEN..].copy_from_slice(&self.ciphertext); + buf + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + if bytes.len() != AE_CIPHERTEXT_LEN { + return None; + } + + let nonce = bytes[..NONCE_LEN].try_into().ok()?; + let ciphertext = bytes[NONCE_LEN..].try_into().ok()?; + + Some(AeCiphertext { nonce, ciphertext }) + } +} + +impl fmt::Display for AeCiphertext { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + write!(f, "{}", BASE64_STANDARD.encode(self.to_bytes())) + } +} + +#[cfg(test)] +mod tests { + use { + super::*, + solana_sdk::{pubkey::Pubkey, signature::Keypair, signer::null_signer::NullSigner}, + }; + + #[test] + fn test_aes_encrypt_decrypt_correctness() { + let key = AeKey::new_rand(); + let amount = 55; + + let ciphertext = key.encrypt(amount); + let decrypted_amount = ciphertext.decrypt(&key).unwrap(); + + assert_eq!(amount, decrypted_amount); + } + + #[test] + fn test_aes_new() { + let keypair1 = Keypair::new(); + let keypair2 = Keypair::new(); + + assert_ne!( + AeKey::new_from_signer(&keypair1, Pubkey::default().as_ref()) + .unwrap() + .0, + AeKey::new_from_signer(&keypair2, Pubkey::default().as_ref()) + .unwrap() + .0, + ); + + let null_signer = NullSigner::new(&Pubkey::default()); + assert!(AeKey::new_from_signer(&null_signer, Pubkey::default().as_ref()).is_err()); + } + + #[test] + fn test_aes_key_from_seed() { + let good_seed = vec![0; 32]; + assert!(AeKey::from_seed(&good_seed).is_ok()); + + let too_short_seed = vec![0; 15]; + assert!(AeKey::from_seed(&too_short_seed).is_err()); + + let too_long_seed = vec![0; 65536]; + assert!(AeKey::from_seed(&too_long_seed).is_err()); + } + + #[test] + fn test_aes_key_from() { + let key = AeKey::from_seed(&[0; 32]).unwrap(); + let key_bytes: [u8; AE_KEY_LEN] = AeKey::from_seed(&[0; 32]).unwrap().into(); + + assert_eq!(key, AeKey::from(key_bytes)); + } + + #[test] + fn test_aes_key_try_from() { + let key = AeKey::from_seed(&[0; 32]).unwrap(); + let key_bytes: [u8; AE_KEY_LEN] = AeKey::from_seed(&[0; 32]).unwrap().into(); + + assert_eq!(key, AeKey::try_from(key_bytes.as_slice()).unwrap()); + } + + #[test] + fn test_aes_key_try_from_error() { + let too_many_bytes = vec![0_u8; 32]; + assert!(AeKey::try_from(too_many_bytes.as_slice()).is_err()); + } +} diff --git a/zk-sdk/src/encryption/decode_u32_precomputation_for_G.bincode b/zk-sdk/src/encryption/decode_u32_precomputation_for_G.bincode new file mode 100644 index 0000000000000000000000000000000000000000..f8aaaa937e8190118e763a949d5a38ffe2e52b8c GIT binary patch literal 2228232 zcmV(sK<&Q(009610000Gk)8j1Po2!Tc=tAHVUv*mHG9E?d|b5gaTNaW2$lv5dH&i- zu_uj$nc(tgPvc5Lh@o+{5~)M$3j?4&{Y0#AA%Y_yemK^zK(x??oZb8s&=DOVCP&3a z85}Q5WR}f1yGai7|CA^{t`L(6&rbjW-c01)5uPcq0&xc~buF>tbERO4dJ*SuGg2YgKttxpBZIu=-Kw>%v-{;v6_) z9{tD+8c^6Yr~D?!tDYD_eJ5eqzW3DJQ7`-up`A3$1B&drL!2?F4G8T*P?VRt^ZN-P zM>oL35~*PZ-}F}8wy^K)1Z4etjzr_7NdQSTzLkb!dy|DAH~utqYP}^S4Q((C#vWRm zS^<$~o{Hy3!x%i6pPdLo*ZXUmW}Z)QJO0N;)JLz3oX#R@KRH>iN@0%;y^AD}CeL03 zG$$X>0NZ7B1j8SRAfERaJSdPBY#F$*vqtRo*)?i3*Q>usC81&en(U8k6|+JeZo4r- zTPVf?jwb3gCxiWBJjz{>#Abg+U>Y@dD6QvJ15%6#y`A$xeB|UqpR; 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zT|!hh81Np$6~AK{`zJ|8f3=f-T-7Lk%-3A}mdTC9%WT(*w~*)%Ao_c%!nmZq@#E?DG>M zoEgNa)v8`34v0mAD>r@ZPWcivDN^4O+RQM;FKU$~=+lkmvgQ;$??RWHjhcH{{`tZH zIM&G;1@bzY1!?(J!OtKJ=AKf`z`2k4@Bnky`qg40LRduW&k_zKGNs-6OtbqJe8$z2 zIiz1B?|n)HyljH>NPe4(Ywbnp4P pj~F6u{BhH8ehH)ovA0ddZ~w=Zn2YUhllPV?HWSg-GG|5~{g{YpW|IH_ literal 0 HcmV?d00001 diff --git a/zk-sdk/src/encryption/discrete_log.rs b/zk-sdk/src/encryption/discrete_log.rs new file mode 100644 index 00000000000000..55b9c82adcd978 --- /dev/null +++ b/zk-sdk/src/encryption/discrete_log.rs @@ -0,0 +1,355 @@ +//! The discrete log implementation for the twisted ElGamal decryption. +//! +//! The implementation uses the baby-step giant-step method, which consists of a precomputation +//! step and an online step. The precomputation step involves computing a hash table of a number +//! of Ristretto points that is independent of a discrete log instance. The online phase computes +//! the final discrete log solution using the discrete log instance and the pre-computed hash +//! table. More details on the baby-step giant-step algorithm and the implementation can be found +//! in the [spl documentation](https://spl.solana.com). +//! +//! The implementation is NOT intended to run in constant-time. There are some measures to prevent +//! straightforward timing attacks. For instance, it does not short-circuit the search when a +//! solution is found. However, the use of hashtables, batching, and threads make the +//! implementation inherently not constant-time. This may theoretically allow an adversary to gain +//! information on a discrete log solution depending on the execution time of the implementation. +//! + +#![cfg(not(target_os = "solana"))] + +#[cfg(not(target_arch = "wasm32"))] +use std::thread; +use { + crate::RISTRETTO_POINT_LEN, + curve25519_dalek::{ + constants::RISTRETTO_BASEPOINT_POINT as G, + ristretto::RistrettoPoint, + scalar::Scalar, + traits::{Identity, IsIdentity}, + }, + itertools::Itertools, + serde::{Deserialize, Serialize}, + std::{collections::HashMap, num::NonZeroUsize}, + thiserror::Error, +}; + +const TWO16: u64 = 65536; // 2^16 +const TWO17: u64 = 131072; // 2^17 + +/// Maximum number of threads permitted for discrete log computation +#[cfg(not(target_arch = "wasm32"))] +const MAX_THREAD: usize = 65536; + +#[derive(Error, Clone, Debug, Eq, PartialEq)] +pub enum DiscreteLogError { + #[error("discrete log number of threads not power-of-two")] + DiscreteLogThreads, + #[error("discrete log batch size too large")] + DiscreteLogBatchSize, +} + +/// Type that captures a discrete log challenge. +/// +/// The goal of discrete log is to find x such that x * generator = target. +#[derive(Serialize, Deserialize, Copy, Clone, Debug, Eq, PartialEq)] +pub struct DiscreteLog { + /// Generator point for discrete log + pub generator: RistrettoPoint, + /// Target point for discrete log + pub target: RistrettoPoint, + /// Number of threads used for discrete log computation + num_threads: Option, + /// Range bound for discrete log search derived from the max value to search for and + /// `num_threads` + range_bound: NonZeroUsize, + /// Ristretto point representing each step of the discrete log search + step_point: RistrettoPoint, + /// Ristretto point compression batch size + compression_batch_size: NonZeroUsize, +} + +#[derive(Serialize, Deserialize, Default)] +pub struct DecodePrecomputation(HashMap<[u8; RISTRETTO_POINT_LEN], u16>); + +/// Builds a HashMap of 2^16 elements +#[allow(dead_code)] +fn decode_u32_precomputation(generator: RistrettoPoint) -> DecodePrecomputation { + let mut hashmap = HashMap::new(); + + let two17_scalar = Scalar::from(TWO17); + let identity = RistrettoPoint::identity(); // 0 * G + let generator = two17_scalar * generator; // 2^17 * G + + // iterator for 2^17*0G , 2^17*1G, 2^17*2G, ... + let ristretto_iter = RistrettoIterator::new((identity, 0), (generator, 1)); + for (point, x_hi) in ristretto_iter.take(TWO16 as usize) { + let key = point.compress().to_bytes(); + hashmap.insert(key, x_hi as u16); + } + + DecodePrecomputation(hashmap) +} + +lazy_static::lazy_static! { + /// Pre-computed HashMap needed for decryption. The HashMap is independent of (works for) any key. + pub static ref DECODE_PRECOMPUTATION_FOR_G: DecodePrecomputation = { + static DECODE_PRECOMPUTATION_FOR_G_BINCODE: &[u8] = + include_bytes!("decode_u32_precomputation_for_G.bincode"); + bincode::deserialize(DECODE_PRECOMPUTATION_FOR_G_BINCODE).unwrap_or_default() + }; +} + +/// Solves the discrete log instance using a 16/16 bit offline/online split +impl DiscreteLog { + /// Discrete log instance constructor. + /// + /// Default number of threads set to 1. + pub fn new(generator: RistrettoPoint, target: RistrettoPoint) -> Self { + Self { + generator, + target, + num_threads: None, + range_bound: (TWO16 as usize).try_into().unwrap(), + step_point: G, + compression_batch_size: 32.try_into().unwrap(), + } + } + + /// Adjusts number of threads in a discrete log instance. + #[cfg(not(target_arch = "wasm32"))] + pub fn num_threads(&mut self, num_threads: NonZeroUsize) -> Result<(), DiscreteLogError> { + // number of threads must be a positive power-of-two integer + if !num_threads.is_power_of_two() || num_threads.get() > MAX_THREAD { + return Err(DiscreteLogError::DiscreteLogThreads); + } + + self.num_threads = Some(num_threads); + self.range_bound = (TWO16 as usize) + .checked_div(num_threads.get()) + .and_then(|range_bound| range_bound.try_into().ok()) + .unwrap(); // `num_threads` cannot exceed `TWO16`, so `range_bound` always non-zero + self.step_point = Scalar::from(num_threads.get() as u64) * G; + + Ok(()) + } + + /// Adjusts inversion batch size in a discrete log instance. + pub fn set_compression_batch_size( + &mut self, + compression_batch_size: NonZeroUsize, + ) -> Result<(), DiscreteLogError> { + if compression_batch_size.get() >= TWO16 as usize { + return Err(DiscreteLogError::DiscreteLogBatchSize); + } + self.compression_batch_size = compression_batch_size; + + Ok(()) + } + + /// Solves the discrete log problem under the assumption that the solution + /// is a positive 32-bit number. + pub fn decode_u32(self) -> Option { + if let Some(num_threads) = self.num_threads { + #[cfg(not(target_arch = "wasm32"))] + { + let mut starting_point = self.target; + let handles = (0..num_threads.get()) + .map(|i| { + let ristretto_iterator = RistrettoIterator::new( + (starting_point, i as u64), + (-(&self.step_point), num_threads.get() as u64), + ); + + let handle = thread::spawn(move || { + Self::decode_range( + ristretto_iterator, + self.range_bound, + self.compression_batch_size, + ) + }); + + starting_point -= G; + handle + }) + .collect::>(); + + handles + .into_iter() + .map_while(|h| h.join().ok()) + .find(|x| x.is_some()) + .flatten() + } + #[cfg(target_arch = "wasm32")] + unreachable!() // `self.num_threads` always `None` on wasm target + } else { + let ristretto_iterator = + RistrettoIterator::new((self.target, 0_u64), (-(&self.step_point), 1u64)); + + Self::decode_range( + ristretto_iterator, + self.range_bound, + self.compression_batch_size, + ) + } + } + + fn decode_range( + ristretto_iterator: RistrettoIterator, + range_bound: NonZeroUsize, + compression_batch_size: NonZeroUsize, + ) -> Option { + let hashmap = &DECODE_PRECOMPUTATION_FOR_G; + let mut decoded = None; + + for batch in &ristretto_iterator + .take(range_bound.get()) + .chunks(compression_batch_size.get()) + { + // batch compression currently errors if any point in the batch is the identity point + let (batch_points, batch_indices): (Vec<_>, Vec<_>) = batch + .filter(|(point, index)| { + if point.is_identity() { + decoded = Some(*index); + return false; + } + true + }) + .unzip(); + + let batch_compressed = RistrettoPoint::double_and_compress_batch(&batch_points); + + for (point, x_lo) in batch_compressed.iter().zip(batch_indices.iter()) { + let key = point.to_bytes(); + if hashmap.0.contains_key(&key) { + let x_hi = hashmap.0[&key]; + decoded = Some(x_lo + TWO16 * x_hi as u64); + } + } + } + + decoded + } +} + +/// Hashable Ristretto iterator. +/// +/// Given an initial point X and a stepping point P, the iterator iterates through +/// X + 0*P, X + 1*P, X + 2*P, X + 3*P, ... +struct RistrettoIterator { + pub current: (RistrettoPoint, u64), + pub step: (RistrettoPoint, u64), +} + +impl RistrettoIterator { + fn new(current: (RistrettoPoint, u64), step: (RistrettoPoint, u64)) -> Self { + RistrettoIterator { current, step } + } +} + +impl Iterator for RistrettoIterator { + type Item = (RistrettoPoint, u64); + + fn next(&mut self) -> Option { + let r = self.current; + self.current = (self.current.0 + self.step.0, self.current.1 + self.step.1); + Some(r) + } +} + +#[cfg(test)] +mod tests { + use {super::*, std::time::Instant}; + + #[test] + #[allow(non_snake_case)] + fn test_serialize_decode_u32_precomputation_for_G() { + let decode_u32_precomputation_for_G = decode_u32_precomputation(G); + // let decode_u32_precomputation_for_G = decode_u32_precomputation(G); + + if decode_u32_precomputation_for_G.0 != DECODE_PRECOMPUTATION_FOR_G.0 { + use std::{fs::File, io::Write, path::PathBuf}; + let mut f = File::create(PathBuf::from( + "src/encryption/decode_u32_precomputation_for_G.bincode", + )) + .unwrap(); + f.write_all(&bincode::serialize(&decode_u32_precomputation_for_G).unwrap()) + .unwrap(); + panic!("Rebuild and run this test again"); + } + } + + #[test] + fn test_decode_correctness() { + // general case + let amount: u64 = 4294967295; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + // Very informal measurements for now + let start_computation = Instant::now(); + let decoded = instance.decode_u32(); + let computation_secs = start_computation.elapsed().as_secs_f64(); + + assert_eq!(amount, decoded.unwrap()); + + println!("single thread discrete log computation secs: {computation_secs:?} sec"); + } + + #[cfg(not(target_arch = "wasm32"))] + #[test] + fn test_decode_correctness_threaded() { + // general case + let amount: u64 = 55; + + let mut instance = DiscreteLog::new(G, Scalar::from(amount) * G); + instance.num_threads(4.try_into().unwrap()).unwrap(); + + // Very informal measurements for now + let start_computation = Instant::now(); + let decoded = instance.decode_u32(); + let computation_secs = start_computation.elapsed().as_secs_f64(); + + assert_eq!(amount, decoded.unwrap()); + + println!("4 thread discrete log computation: {computation_secs:?} sec"); + + // amount 0 + let amount: u64 = 0; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + let decoded = instance.decode_u32(); + assert_eq!(amount, decoded.unwrap()); + + // amount 1 + let amount: u64 = 1; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + let decoded = instance.decode_u32(); + assert_eq!(amount, decoded.unwrap()); + + // amount 2 + let amount: u64 = 2; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + let decoded = instance.decode_u32(); + assert_eq!(amount, decoded.unwrap()); + + // amount 3 + let amount: u64 = 3; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + let decoded = instance.decode_u32(); + assert_eq!(amount, decoded.unwrap()); + + // max amount + let amount: u64 = (1_u64 << 32) - 1; + + let instance = DiscreteLog::new(G, Scalar::from(amount) * G); + + let decoded = instance.decode_u32(); + assert_eq!(amount, decoded.unwrap()); + } +} diff --git a/zk-sdk/src/encryption/elgamal.rs b/zk-sdk/src/encryption/elgamal.rs new file mode 100644 index 00000000000000..1b1f76c87e55bd --- /dev/null +++ b/zk-sdk/src/encryption/elgamal.rs @@ -0,0 +1,1108 @@ +//! The twisted ElGamal encryption implementation. +//! +//! The message space consists of any number that is representable as a scalar (a.k.a. "exponent") +//! for Curve25519. +//! +//! A twisted ElGamal ciphertext consists of two components: +//! - A Pedersen commitment that encodes a message to be encrypted +//! - A "decryption handle" that binds the Pedersen opening to a specific public key +//! In contrast to the traditional ElGamal encryption scheme, the twisted ElGamal encodes messages +//! directly as a Pedersen commitment. Therefore, proof systems that are designed specifically for +//! Pedersen commitments can be used on the twisted ElGamal ciphertexts. +//! +//! As the messages are encrypted as scalar elements (a.k.a. in the "exponent"), one must solve the +//! discrete log to recover the originally encrypted value. + +use { + crate::{ + encryption::{ + discrete_log::DiscreteLog, + pedersen::{ + Pedersen, PedersenCommitment, PedersenOpening, G, H, PEDERSEN_COMMITMENT_LEN, + }, + }, + errors::ElGamalError, + RISTRETTO_POINT_LEN, SCALAR_LEN, + }, + base64::{prelude::BASE64_STANDARD, Engine}, + core::ops::{Add, Mul, Sub}, + curve25519_dalek::{ + ristretto::{CompressedRistretto, RistrettoPoint}, + scalar::Scalar, + traits::Identity, + }, + serde::{Deserialize, Serialize}, + solana_sdk::{ + derivation_path::DerivationPath, + signature::Signature, + signer::{ + keypair::generate_seed_from_seed_phrase_and_passphrase, EncodableKey, EncodableKeypair, + SeedDerivable, Signer, SignerError, + }, + }, + std::convert::TryInto, + subtle::{Choice, ConstantTimeEq}, + zeroize::Zeroize, +}; +#[cfg(not(target_os = "solana"))] +use { + rand::rngs::OsRng, + sha3::{Digest, Sha3_512}, + std::{ + error, fmt, + io::{Read, Write}, + path::Path, + }, +}; + +/// Byte length of a decrypt handle +const DECRYPT_HANDLE_LEN: usize = RISTRETTO_POINT_LEN; + +/// Byte length of an ElGamal ciphertext +const ELGAMAL_CIPHERTEXT_LEN: usize = PEDERSEN_COMMITMENT_LEN + DECRYPT_HANDLE_LEN; + +/// Byte length of an ElGamal public key +const ELGAMAL_PUBKEY_LEN: usize = RISTRETTO_POINT_LEN; + +/// Byte length of an ElGamal secret key +const ELGAMAL_SECRET_KEY_LEN: usize = SCALAR_LEN; + +/// Byte length of an ElGamal keypair +pub const ELGAMAL_KEYPAIR_LEN: usize = ELGAMAL_PUBKEY_LEN + ELGAMAL_SECRET_KEY_LEN; + +/// Algorithm handle for the twisted ElGamal encryption scheme +pub struct ElGamal; +impl ElGamal { + /// Generates an ElGamal keypair. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + #[cfg(not(target_os = "solana"))] + #[allow(non_snake_case)] + fn keygen() -> ElGamalKeypair { + // secret scalar should be non-zero except with negligible probability + let mut s = Scalar::random(&mut OsRng); + let keypair = Self::keygen_with_scalar(&s); + + s.zeroize(); + keypair + } + + /// Generates an ElGamal keypair from a scalar input that determines the ElGamal private key. + /// + /// This function panics if the input scalar is zero, which is not a valid key. + #[cfg(not(target_os = "solana"))] + #[allow(non_snake_case)] + fn keygen_with_scalar(s: &Scalar) -> ElGamalKeypair { + let secret = ElGamalSecretKey(*s); + let public = ElGamalPubkey::new(&secret); + + ElGamalKeypair { public, secret } + } + + /// On input an ElGamal public key and an amount to be encrypted, the function returns a + /// corresponding ElGamal ciphertext. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + #[cfg(not(target_os = "solana"))] + fn encrypt>(public: &ElGamalPubkey, amount: T) -> ElGamalCiphertext { + let (commitment, opening) = Pedersen::new(amount); + let handle = public.decrypt_handle(&opening); + + ElGamalCiphertext { commitment, handle } + } + + /// On input a public key, amount, and Pedersen opening, the function returns the corresponding + /// ElGamal ciphertext. + #[cfg(not(target_os = "solana"))] + fn encrypt_with>( + amount: T, + public: &ElGamalPubkey, + opening: &PedersenOpening, + ) -> ElGamalCiphertext { + let commitment = Pedersen::with(amount, opening); + let handle = public.decrypt_handle(opening); + + ElGamalCiphertext { commitment, handle } + } + + /// On input an amount, the function returns a twisted ElGamal ciphertext where the associated + /// Pedersen opening is always zero. Since the opening is zero, any twisted ElGamal ciphertext + /// of this form is a valid ciphertext under any ElGamal public key. + #[cfg(not(target_os = "solana"))] + pub fn encode>(amount: T) -> ElGamalCiphertext { + let commitment = Pedersen::encode(amount); + let handle = DecryptHandle(RistrettoPoint::identity()); + + ElGamalCiphertext { commitment, handle } + } + + /// On input a secret key and a ciphertext, the function returns the discrete log encoding of + /// original amount. + /// + /// The output of this function is of type `DiscreteLog`. To recover, the originally encrypted + /// amount, use `DiscreteLog::decode`. + #[cfg(not(target_os = "solana"))] + fn decrypt(secret: &ElGamalSecretKey, ciphertext: &ElGamalCiphertext) -> DiscreteLog { + DiscreteLog::new( + *G, + ciphertext.commitment.get_point() - &(&secret.0 * &ciphertext.handle.0), + ) + } + + /// On input a secret key and a ciphertext, the function returns the decrypted amount + /// interpreted as a positive 32-bit number (but still of type `u64`). + /// + /// If the originally encrypted amount is not a positive 32-bit number, then the function + /// returns `None`. + #[cfg(not(target_os = "solana"))] + fn decrypt_u32(secret: &ElGamalSecretKey, ciphertext: &ElGamalCiphertext) -> Option { + let discrete_log_instance = Self::decrypt(secret, ciphertext); + discrete_log_instance.decode_u32() + } +} + +/// A (twisted) ElGamal encryption keypair. +/// +/// The instances of the secret key are zeroized on drop. +#[derive(Clone, Debug, Deserialize, PartialEq, Eq, Serialize, Zeroize)] +pub struct ElGamalKeypair { + /// The public half of this keypair. + public: ElGamalPubkey, + /// The secret half of this keypair. + secret: ElGamalSecretKey, +} + +impl ElGamalKeypair { + /// Create an ElGamal keypair from an ElGamal public key and an ElGamal secret key. + /// + /// An ElGamal keypair should never be instantiated manually; `ElGamalKeypair::new_rand` or + /// `ElGamalKeypair::new_from_signer` should be used instead. This function exists to create + /// custom ElGamal keypairs for tests. + pub fn new_for_tests(public: ElGamalPubkey, secret: ElGamalSecretKey) -> Self { + Self { public, secret } + } + + /// Deterministically derives an ElGamal keypair from a Solana signer and a public seed. + /// + /// This function exists for applications where a user may not wish to maintain a Solana signer + /// and an ElGamal keypair separately. Instead, a user can derive the ElGamal keypair + /// on-the-fly whenever encryption/decryption is needed. + /// + /// For the spl-token-2022 confidential extension, the ElGamal public key is specified in a + /// token account. A natural way to derive an ElGamal keypair is to define it from the hash of + /// a Solana keypair and a Solana address as the public seed. However, for general hardware + /// wallets, the signing key is not exposed in the API. Therefore, this function uses a signer + /// to sign a public seed and the resulting signature is then hashed to derive an ElGamal + /// keypair. + #[cfg(not(target_os = "solana"))] + #[allow(non_snake_case)] + pub fn new_from_signer( + signer: &dyn Signer, + public_seed: &[u8], + ) -> Result> { + let secret = ElGamalSecretKey::new_from_signer(signer, public_seed)?; + let public = ElGamalPubkey::new(&secret); + Ok(ElGamalKeypair { public, secret }) + } + + /// Generates the public and secret keys for ElGamal encryption. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + #[cfg(not(target_os = "solana"))] + pub fn new_rand() -> Self { + ElGamal::keygen() + } + + pub fn pubkey(&self) -> &ElGamalPubkey { + &self.public + } + + pub fn secret(&self) -> &ElGamalSecretKey { + &self.secret + } + + /// Reads a JSON-encoded keypair from a `Reader` implementor + pub fn read_json(reader: &mut R) -> Result> { + let bytes: Vec = serde_json::from_reader(reader)?; + Self::try_from(bytes.as_slice()).ok().ok_or_else(|| { + std::io::Error::new(std::io::ErrorKind::Other, "Invalid ElGamalKeypair").into() + }) + } + + /// Reads keypair from a file + pub fn read_json_file>(path: F) -> Result> { + Self::read_from_file(path) + } + + /// Writes to a `Write` implementer with JSON-encoding + pub fn write_json(&self, writer: &mut W) -> Result> { + let json = + serde_json::to_string(&Into::<[u8; ELGAMAL_KEYPAIR_LEN]>::into(self).as_slice())?; + writer.write_all(&json.clone().into_bytes())?; + Ok(json) + } + + /// Write keypair to a file with JSON-encoding + pub fn write_json_file>( + &self, + outfile: F, + ) -> Result> { + self.write_to_file(outfile) + } +} + +impl EncodableKey for ElGamalKeypair { + fn read(reader: &mut R) -> Result> { + Self::read_json(reader) + } + + fn write(&self, writer: &mut W) -> Result> { + self.write_json(writer) + } +} + +impl TryFrom<&[u8]> for ElGamalKeypair { + type Error = ElGamalError; + fn try_from(bytes: &[u8]) -> Result { + if bytes.len() != ELGAMAL_KEYPAIR_LEN { + return Err(ElGamalError::KeypairDeserialization); + } + + Ok(Self { + public: ElGamalPubkey::try_from(&bytes[..ELGAMAL_PUBKEY_LEN])?, + secret: ElGamalSecretKey::try_from(&bytes[ELGAMAL_PUBKEY_LEN..])?, + }) + } +} + +impl From for [u8; ELGAMAL_KEYPAIR_LEN] { + fn from(keypair: ElGamalKeypair) -> Self { + let mut bytes = [0u8; ELGAMAL_KEYPAIR_LEN]; + bytes[..ELGAMAL_PUBKEY_LEN] + .copy_from_slice(&Into::<[u8; ELGAMAL_PUBKEY_LEN]>::into(keypair.public)); + bytes[ELGAMAL_PUBKEY_LEN..].copy_from_slice(keypair.secret.as_bytes()); + bytes + } +} + +impl From<&ElGamalKeypair> for [u8; ELGAMAL_KEYPAIR_LEN] { + fn from(keypair: &ElGamalKeypair) -> Self { + let mut bytes = [0u8; ELGAMAL_KEYPAIR_LEN]; + bytes[..ELGAMAL_PUBKEY_LEN] + .copy_from_slice(&Into::<[u8; ELGAMAL_PUBKEY_LEN]>::into(keypair.public)); + bytes[ELGAMAL_PUBKEY_LEN..].copy_from_slice(keypair.secret.as_bytes()); + bytes + } +} + +impl SeedDerivable for ElGamalKeypair { + fn from_seed(seed: &[u8]) -> Result> { + let secret = ElGamalSecretKey::from_seed(seed)?; + let public = ElGamalPubkey::new(&secret); + Ok(ElGamalKeypair { public, secret }) + } + + fn from_seed_and_derivation_path( + _seed: &[u8], + _derivation_path: Option, + ) -> Result> { + Err(ElGamalError::DerivationMethodNotSupported.into()) + } + + fn from_seed_phrase_and_passphrase( + seed_phrase: &str, + passphrase: &str, + ) -> Result> { + Self::from_seed(&generate_seed_from_seed_phrase_and_passphrase( + seed_phrase, + passphrase, + )) + } +} + +impl EncodableKeypair for ElGamalKeypair { + type Pubkey = ElGamalPubkey; + + fn encodable_pubkey(&self) -> Self::Pubkey { + self.public + } +} + +/// Public key for the ElGamal encryption scheme. +#[derive(Clone, Copy, Debug, Default, Deserialize, Eq, PartialEq, Serialize, Zeroize)] +pub struct ElGamalPubkey(RistrettoPoint); +impl ElGamalPubkey { + /// Derives the `ElGamalPubkey` that uniquely corresponds to an `ElGamalSecretKey`. + #[allow(non_snake_case)] + pub fn new(secret: &ElGamalSecretKey) -> Self { + let s = &secret.0; + assert!(s != &Scalar::zero()); + + ElGamalPubkey(s.invert() * &(*H)) + } + + pub fn get_point(&self) -> &RistrettoPoint { + &self.0 + } + + /// Encrypts an amount under the public key. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + #[cfg(not(target_os = "solana"))] + pub fn encrypt>(&self, amount: T) -> ElGamalCiphertext { + ElGamal::encrypt(self, amount) + } + + /// Encrypts an amount under the public key and an input Pedersen opening. + pub fn encrypt_with>( + &self, + amount: T, + opening: &PedersenOpening, + ) -> ElGamalCiphertext { + ElGamal::encrypt_with(amount, self, opening) + } + + /// Generates a decryption handle for an ElGamal public key under a Pedersen + /// opening. + pub fn decrypt_handle(self, opening: &PedersenOpening) -> DecryptHandle { + DecryptHandle::new(&self, opening) + } +} + +impl EncodableKey for ElGamalPubkey { + fn read(reader: &mut R) -> Result> { + let bytes: Vec = serde_json::from_reader(reader)?; + Self::try_from(bytes.as_slice()).ok().ok_or_else(|| { + std::io::Error::new(std::io::ErrorKind::Other, "Invalid ElGamalPubkey").into() + }) + } + + fn write(&self, writer: &mut W) -> Result> { + let bytes = Into::<[u8; ELGAMAL_PUBKEY_LEN]>::into(*self); + let json = serde_json::to_string(&bytes.to_vec())?; + writer.write_all(&json.clone().into_bytes())?; + Ok(json) + } +} + +impl fmt::Display for ElGamalPubkey { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + write!( + f, + "{}", + BASE64_STANDARD.encode(Into::<[u8; ELGAMAL_PUBKEY_LEN]>::into(*self)) + ) + } +} + +impl TryFrom<&[u8]> for ElGamalPubkey { + type Error = ElGamalError; + fn try_from(bytes: &[u8]) -> Result { + if bytes.len() != ELGAMAL_PUBKEY_LEN { + return Err(ElGamalError::PubkeyDeserialization); + } + + Ok(ElGamalPubkey( + CompressedRistretto::from_slice(bytes) + .decompress() + .ok_or(ElGamalError::PubkeyDeserialization)?, + )) + } +} + +impl From for [u8; ELGAMAL_PUBKEY_LEN] { + fn from(pubkey: ElGamalPubkey) -> Self { + pubkey.0.compress().to_bytes() + } +} + +impl From<&ElGamalPubkey> for [u8; ELGAMAL_PUBKEY_LEN] { + fn from(pubkey: &ElGamalPubkey) -> Self { + pubkey.0.compress().to_bytes() + } +} + +/// Secret key for the ElGamal encryption scheme. +/// +/// Instances of ElGamal secret key are zeroized on drop. +#[derive(Clone, Debug, Deserialize, Serialize, Zeroize)] +#[zeroize(drop)] +pub struct ElGamalSecretKey(Scalar); +impl ElGamalSecretKey { + /// Deterministically derives an ElGamal secret key from a Solana signer and a public seed. + /// + /// See `ElGamalKeypair::new_from_signer` for more context on the key derivation. + pub fn new_from_signer( + signer: &dyn Signer, + public_seed: &[u8], + ) -> Result> { + let seed = Self::seed_from_signer(signer, public_seed)?; + let key = Self::from_seed(&seed)?; + Ok(key) + } + + /// Derive a seed from a Solana signer used to generate an ElGamal secret key. + /// + /// The seed is derived as the hash of the signature of a public seed. + pub fn seed_from_signer( + signer: &dyn Signer, + public_seed: &[u8], + ) -> Result, SignerError> { + let message = [b"ElGamalSecretKey", public_seed].concat(); + let signature = signer.try_sign_message(&message)?; + + // Some `Signer` implementations return the default signature, which is not suitable for + // use as key material + if bool::from(signature.as_ref().ct_eq(Signature::default().as_ref())) { + return Err(SignerError::Custom("Rejecting default signatures".into())); + } + + let mut hasher = Sha3_512::new(); + hasher.update(signature.as_ref()); + let result = hasher.finalize(); + + Ok(result.to_vec()) + } + + /// Randomly samples an ElGamal secret key. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + pub fn new_rand() -> Self { + ElGamalSecretKey(Scalar::random(&mut OsRng)) + } + + /// Derive an ElGamal secret key from an entropy seed. + pub fn from_seed(seed: &[u8]) -> Result { + const MINIMUM_SEED_LEN: usize = ELGAMAL_SECRET_KEY_LEN; + const MAXIMUM_SEED_LEN: usize = 65535; + + if seed.len() < MINIMUM_SEED_LEN { + return Err(ElGamalError::SeedLengthTooShort); + } + if seed.len() > MAXIMUM_SEED_LEN { + return Err(ElGamalError::SeedLengthTooLong); + } + Ok(ElGamalSecretKey(Scalar::hash_from_bytes::(seed))) + } + + pub fn get_scalar(&self) -> &Scalar { + &self.0 + } + + /// Decrypts a ciphertext using the ElGamal secret key. + /// + /// The output of this function is of type `DiscreteLog`. To recover, the originally encrypted + /// message, use `DiscreteLog::decode`. + pub fn decrypt(&self, ciphertext: &ElGamalCiphertext) -> DiscreteLog { + ElGamal::decrypt(self, ciphertext) + } + + /// Decrypts a ciphertext using the ElGamal secret key interpretting the message as type `u32`. + pub fn decrypt_u32(&self, ciphertext: &ElGamalCiphertext) -> Option { + ElGamal::decrypt_u32(self, ciphertext) + } + + pub fn as_bytes(&self) -> &[u8; ELGAMAL_SECRET_KEY_LEN] { + self.0.as_bytes() + } +} + +impl EncodableKey for ElGamalSecretKey { + fn read(reader: &mut R) -> Result> { + let bytes: Vec = serde_json::from_reader(reader)?; + Self::try_from(bytes.as_slice()).ok().ok_or_else(|| { + std::io::Error::new(std::io::ErrorKind::Other, "Invalid ElGamalSecretKey").into() + }) + } + + fn write(&self, writer: &mut W) -> Result> { + let bytes = Into::<[u8; ELGAMAL_SECRET_KEY_LEN]>::into(self); + let json = serde_json::to_string(&bytes.to_vec())?; + writer.write_all(&json.clone().into_bytes())?; + Ok(json) + } +} + +impl SeedDerivable for ElGamalSecretKey { + fn from_seed(seed: &[u8]) -> Result> { + let key = Self::from_seed(seed)?; + Ok(key) + } + + fn from_seed_and_derivation_path( + _seed: &[u8], + _derivation_path: Option, + ) -> Result> { + Err(ElGamalError::DerivationMethodNotSupported.into()) + } + + fn from_seed_phrase_and_passphrase( + seed_phrase: &str, + passphrase: &str, + ) -> Result> { + let key = Self::from_seed(&generate_seed_from_seed_phrase_and_passphrase( + seed_phrase, + passphrase, + ))?; + Ok(key) + } +} + +impl From for ElGamalSecretKey { + fn from(scalar: Scalar) -> ElGamalSecretKey { + ElGamalSecretKey(scalar) + } +} + +impl TryFrom<&[u8]> for ElGamalSecretKey { + type Error = ElGamalError; + fn try_from(bytes: &[u8]) -> Result { + match bytes.try_into() { + Ok(bytes) => Ok(ElGamalSecretKey::from( + Scalar::from_canonical_bytes(bytes) + .ok_or(ElGamalError::SecretKeyDeserialization)?, + )), + _ => Err(ElGamalError::SecretKeyDeserialization), + } + } +} + +impl From for [u8; ELGAMAL_SECRET_KEY_LEN] { + fn from(secret_key: ElGamalSecretKey) -> Self { + secret_key.0.to_bytes() + } +} + +impl From<&ElGamalSecretKey> for [u8; ELGAMAL_SECRET_KEY_LEN] { + fn from(secret_key: &ElGamalSecretKey) -> Self { + secret_key.0.to_bytes() + } +} + +impl Eq for ElGamalSecretKey {} +impl PartialEq for ElGamalSecretKey { + fn eq(&self, other: &Self) -> bool { + self.ct_eq(other).unwrap_u8() == 1u8 + } +} +impl ConstantTimeEq for ElGamalSecretKey { + fn ct_eq(&self, other: &Self) -> Choice { + self.0.ct_eq(&other.0) + } +} + +/// Ciphertext for the ElGamal encryption scheme. +#[allow(non_snake_case)] +#[derive(Clone, Copy, Debug, Default, Deserialize, Eq, PartialEq, Serialize)] +pub struct ElGamalCiphertext { + pub commitment: PedersenCommitment, + pub handle: DecryptHandle, +} +impl ElGamalCiphertext { + pub fn add_amount>(&self, amount: T) -> Self { + let point = amount.into() * &(*G); + let commitment_to_add = PedersenCommitment::new(point); + ElGamalCiphertext { + commitment: &self.commitment + &commitment_to_add, + handle: self.handle, + } + } + + pub fn subtract_amount>(&self, amount: T) -> Self { + let point = amount.into() * &(*G); + let commitment_to_subtract = PedersenCommitment::new(point); + ElGamalCiphertext { + commitment: &self.commitment - &commitment_to_subtract, + handle: self.handle, + } + } + + pub fn to_bytes(&self) -> [u8; ELGAMAL_CIPHERTEXT_LEN] { + let mut bytes = [0u8; ELGAMAL_CIPHERTEXT_LEN]; + bytes[..PEDERSEN_COMMITMENT_LEN].copy_from_slice(&self.commitment.to_bytes()); + bytes[PEDERSEN_COMMITMENT_LEN..].copy_from_slice(&self.handle.to_bytes()); + bytes + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + if bytes.len() != ELGAMAL_CIPHERTEXT_LEN { + return None; + } + + Some(ElGamalCiphertext { + commitment: PedersenCommitment::from_bytes(&bytes[..PEDERSEN_COMMITMENT_LEN])?, + handle: DecryptHandle::from_bytes(&bytes[PEDERSEN_COMMITMENT_LEN..])?, + }) + } + + /// Decrypts the ciphertext using an ElGamal secret key. + /// + /// The output of this function is of type `DiscreteLog`. To recover, the originally encrypted + /// amount, use `DiscreteLog::decode`. + pub fn decrypt(&self, secret: &ElGamalSecretKey) -> DiscreteLog { + ElGamal::decrypt(secret, self) + } + + /// Decrypts the ciphertext using an ElGamal secret key assuming that the message is a positive + /// 32-bit number. + /// + /// If the originally encrypted amount is not a positive 32-bit number, then the function + /// returns `None`. + pub fn decrypt_u32(&self, secret: &ElGamalSecretKey) -> Option { + ElGamal::decrypt_u32(secret, self) + } +} + +impl fmt::Display for ElGamalCiphertext { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + write!(f, "{}", BASE64_STANDARD.encode(self.to_bytes())) + } +} + +impl<'a, 'b> Add<&'b ElGamalCiphertext> for &'a ElGamalCiphertext { + type Output = ElGamalCiphertext; + + fn add(self, ciphertext: &'b ElGamalCiphertext) -> ElGamalCiphertext { + ElGamalCiphertext { + commitment: &self.commitment + &ciphertext.commitment, + handle: &self.handle + &ciphertext.handle, + } + } +} + +define_add_variants!( + LHS = ElGamalCiphertext, + RHS = ElGamalCiphertext, + Output = ElGamalCiphertext +); + +impl<'a, 'b> Sub<&'b ElGamalCiphertext> for &'a ElGamalCiphertext { + type Output = ElGamalCiphertext; + + fn sub(self, ciphertext: &'b ElGamalCiphertext) -> ElGamalCiphertext { + ElGamalCiphertext { + commitment: &self.commitment - &ciphertext.commitment, + handle: &self.handle - &ciphertext.handle, + } + } +} + +define_sub_variants!( + LHS = ElGamalCiphertext, + RHS = ElGamalCiphertext, + Output = ElGamalCiphertext +); + +impl<'a, 'b> Mul<&'b Scalar> for &'a ElGamalCiphertext { + type Output = ElGamalCiphertext; + + fn mul(self, scalar: &'b Scalar) -> ElGamalCiphertext { + ElGamalCiphertext { + commitment: &self.commitment * scalar, + handle: &self.handle * scalar, + } + } +} + +define_mul_variants!( + LHS = ElGamalCiphertext, + RHS = Scalar, + Output = ElGamalCiphertext +); + +impl<'a, 'b> Mul<&'b ElGamalCiphertext> for &'a Scalar { + type Output = ElGamalCiphertext; + + fn mul(self, ciphertext: &'b ElGamalCiphertext) -> ElGamalCiphertext { + ElGamalCiphertext { + commitment: self * &ciphertext.commitment, + handle: self * &ciphertext.handle, + } + } +} + +define_mul_variants!( + LHS = Scalar, + RHS = ElGamalCiphertext, + Output = ElGamalCiphertext +); + +/// Decryption handle for Pedersen commitment. +#[derive(Clone, Copy, Debug, Default, Deserialize, Eq, PartialEq, Serialize)] +pub struct DecryptHandle(RistrettoPoint); +impl DecryptHandle { + pub fn new(public: &ElGamalPubkey, opening: &PedersenOpening) -> Self { + Self(&public.0 * opening.get_scalar()) + } + + pub fn get_point(&self) -> &RistrettoPoint { + &self.0 + } + + pub fn to_bytes(&self) -> [u8; DECRYPT_HANDLE_LEN] { + self.0.compress().to_bytes() + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + if bytes.len() != DECRYPT_HANDLE_LEN { + return None; + } + + Some(DecryptHandle( + CompressedRistretto::from_slice(bytes).decompress()?, + )) + } +} + +impl<'a, 'b> Add<&'b DecryptHandle> for &'a DecryptHandle { + type Output = DecryptHandle; + + fn add(self, handle: &'b DecryptHandle) -> DecryptHandle { + DecryptHandle(&self.0 + &handle.0) + } +} + +define_add_variants!( + LHS = DecryptHandle, + RHS = DecryptHandle, + Output = DecryptHandle +); + +impl<'a, 'b> Sub<&'b DecryptHandle> for &'a DecryptHandle { + type Output = DecryptHandle; + + fn sub(self, handle: &'b DecryptHandle) -> DecryptHandle { + DecryptHandle(&self.0 - &handle.0) + } +} + +define_sub_variants!( + LHS = DecryptHandle, + RHS = DecryptHandle, + Output = DecryptHandle +); + +impl<'a, 'b> Mul<&'b Scalar> for &'a DecryptHandle { + type Output = DecryptHandle; + + fn mul(self, scalar: &'b Scalar) -> DecryptHandle { + DecryptHandle(&self.0 * scalar) + } +} + +define_mul_variants!(LHS = DecryptHandle, RHS = Scalar, Output = DecryptHandle); + +impl<'a, 'b> Mul<&'b DecryptHandle> for &'a Scalar { + type Output = DecryptHandle; + + fn mul(self, handle: &'b DecryptHandle) -> DecryptHandle { + DecryptHandle(self * &handle.0) + } +} + +define_mul_variants!(LHS = Scalar, RHS = DecryptHandle, Output = DecryptHandle); + +#[cfg(test)] +mod tests { + use { + super::*, + crate::encryption::pedersen::Pedersen, + bip39::{Language, Mnemonic, MnemonicType, Seed}, + solana_sdk::{pubkey::Pubkey, signature::Keypair, signer::null_signer::NullSigner}, + std::fs::{self, File}, + }; + + #[test] + fn test_encrypt_decrypt_correctness() { + let ElGamalKeypair { public, secret } = ElGamalKeypair::new_rand(); + let amount: u32 = 57; + let ciphertext = ElGamal::encrypt(&public, amount); + + let expected_instance = DiscreteLog::new(*G, Scalar::from(amount) * &(*G)); + + assert_eq!(expected_instance, ElGamal::decrypt(&secret, &ciphertext)); + assert_eq!(57_u64, secret.decrypt_u32(&ciphertext).unwrap()); + } + + #[cfg(not(target_arch = "wasm32"))] + #[test] + fn test_encrypt_decrypt_correctness_multithreaded() { + let ElGamalKeypair { public, secret } = ElGamalKeypair::new_rand(); + let amount: u32 = 57; + let ciphertext = ElGamal::encrypt(&public, amount); + + let mut instance = ElGamal::decrypt(&secret, &ciphertext); + instance.num_threads(4.try_into().unwrap()).unwrap(); + assert_eq!(57_u64, instance.decode_u32().unwrap()); + } + + #[test] + fn test_decrypt_handle() { + let ElGamalKeypair { + public: public_0, + secret: secret_0, + } = ElGamalKeypair::new_rand(); + let ElGamalKeypair { + public: public_1, + secret: secret_1, + } = ElGamalKeypair::new_rand(); + + let amount: u32 = 77; + let (commitment, opening) = Pedersen::new(amount); + + let handle_0 = public_0.decrypt_handle(&opening); + let handle_1 = public_1.decrypt_handle(&opening); + + let ciphertext_0 = ElGamalCiphertext { + commitment, + handle: handle_0, + }; + let ciphertext_1 = ElGamalCiphertext { + commitment, + handle: handle_1, + }; + + let expected_instance = DiscreteLog::new(*G, Scalar::from(amount) * &(*G)); + + assert_eq!(expected_instance, secret_0.decrypt(&ciphertext_0)); + assert_eq!(expected_instance, secret_1.decrypt(&ciphertext_1)); + } + + #[test] + fn test_homomorphic_addition() { + let ElGamalKeypair { public, secret: _ } = ElGamalKeypair::new_rand(); + let amount_0: u64 = 57; + let amount_1: u64 = 77; + + // Add two ElGamal ciphertexts + let opening_0 = PedersenOpening::new_rand(); + let opening_1 = PedersenOpening::new_rand(); + + let ciphertext_0 = ElGamal::encrypt_with(amount_0, &public, &opening_0); + let ciphertext_1 = ElGamal::encrypt_with(amount_1, &public, &opening_1); + + let ciphertext_sum = + ElGamal::encrypt_with(amount_0 + amount_1, &public, &(&opening_0 + &opening_1)); + + assert_eq!(ciphertext_sum, ciphertext_0 + ciphertext_1); + + // Add to ElGamal ciphertext + let opening = PedersenOpening::new_rand(); + let ciphertext = ElGamal::encrypt_with(amount_0, &public, &opening); + let ciphertext_sum = ElGamal::encrypt_with(amount_0 + amount_1, &public, &opening); + + assert_eq!(ciphertext_sum, ciphertext.add_amount(amount_1)); + } + + #[test] + fn test_homomorphic_subtraction() { + let ElGamalKeypair { public, secret: _ } = ElGamalKeypair::new_rand(); + let amount_0: u64 = 77; + let amount_1: u64 = 55; + + // Subtract two ElGamal ciphertexts + let opening_0 = PedersenOpening::new_rand(); + let opening_1 = PedersenOpening::new_rand(); + + let ciphertext_0 = ElGamal::encrypt_with(amount_0, &public, &opening_0); + let ciphertext_1 = ElGamal::encrypt_with(amount_1, &public, &opening_1); + + let ciphertext_sub = + ElGamal::encrypt_with(amount_0 - amount_1, &public, &(&opening_0 - &opening_1)); + + assert_eq!(ciphertext_sub, ciphertext_0 - ciphertext_1); + + // Subtract to ElGamal ciphertext + let opening = PedersenOpening::new_rand(); + let ciphertext = ElGamal::encrypt_with(amount_0, &public, &opening); + let ciphertext_sub = ElGamal::encrypt_with(amount_0 - amount_1, &public, &opening); + + assert_eq!(ciphertext_sub, ciphertext.subtract_amount(amount_1)); + } + + #[test] + fn test_homomorphic_multiplication() { + let ElGamalKeypair { public, secret: _ } = ElGamalKeypair::new_rand(); + let amount_0: u64 = 57; + let amount_1: u64 = 77; + + let opening = PedersenOpening::new_rand(); + + let ciphertext = ElGamal::encrypt_with(amount_0, &public, &opening); + let scalar = Scalar::from(amount_1); + + let ciphertext_prod = + ElGamal::encrypt_with(amount_0 * amount_1, &public, &(&opening * scalar)); + + assert_eq!(ciphertext_prod, ciphertext * scalar); + assert_eq!(ciphertext_prod, scalar * ciphertext); + } + + #[test] + fn test_serde_ciphertext() { + let ElGamalKeypair { public, secret: _ } = ElGamalKeypair::new_rand(); + let amount: u64 = 77; + let ciphertext = public.encrypt(amount); + + let encoded = bincode::serialize(&ciphertext).unwrap(); + let decoded: ElGamalCiphertext = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(ciphertext, decoded); + } + + #[test] + fn test_serde_pubkey() { + let ElGamalKeypair { public, secret: _ } = ElGamalKeypair::new_rand(); + + let encoded = bincode::serialize(&public).unwrap(); + let decoded: ElGamalPubkey = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(public, decoded); + } + + #[test] + fn test_serde_secretkey() { + let ElGamalKeypair { public: _, secret } = ElGamalKeypair::new_rand(); + + let encoded = bincode::serialize(&secret).unwrap(); + let decoded: ElGamalSecretKey = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(secret, decoded); + } + + fn tmp_file_path(name: &str) -> String { + use std::env; + let out_dir = env::var("FARF_DIR").unwrap_or_else(|_| "farf".to_string()); + let keypair = ElGamalKeypair::new_rand(); + format!("{}/tmp/{}-{}", out_dir, name, keypair.public) + } + + #[test] + fn test_write_keypair_file() { + let outfile = tmp_file_path("test_write_keypair_file.json"); + let serialized_keypair = ElGamalKeypair::new_rand() + .write_json_file(&outfile) + .unwrap(); + let keypair_vec: Vec = serde_json::from_str(&serialized_keypair).unwrap(); + assert!(Path::new(&outfile).exists()); + assert_eq!( + keypair_vec, + Into::<[u8; ELGAMAL_KEYPAIR_LEN]>::into( + ElGamalKeypair::read_json_file(&outfile).unwrap() + ) + .to_vec() + ); + + #[cfg(unix)] + { + use std::os::unix::fs::PermissionsExt; + assert_eq!( + File::open(&outfile) + .expect("open") + .metadata() + .expect("metadata") + .permissions() + .mode() + & 0o777, + 0o600 + ); + } + fs::remove_file(&outfile).unwrap(); + } + + #[test] + fn test_write_keypair_file_overwrite_ok() { + let outfile = tmp_file_path("test_write_keypair_file_overwrite_ok.json"); + + ElGamalKeypair::new_rand() + .write_json_file(&outfile) + .unwrap(); + ElGamalKeypair::new_rand() + .write_json_file(&outfile) + .unwrap(); + } + + #[test] + fn test_write_keypair_file_truncate() { + let outfile = tmp_file_path("test_write_keypair_file_truncate.json"); + + ElGamalKeypair::new_rand() + .write_json_file(&outfile) + .unwrap(); + ElGamalKeypair::read_json_file(&outfile).unwrap(); + + // Ensure outfile is truncated + { + let mut f = File::create(&outfile).unwrap(); + f.write_all(String::from_utf8([b'a'; 2048].to_vec()).unwrap().as_bytes()) + .unwrap(); + } + ElGamalKeypair::new_rand() + .write_json_file(&outfile) + .unwrap(); + ElGamalKeypair::read_json_file(&outfile).unwrap(); + } + + #[test] + fn test_secret_key_new_from_signer() { + let keypair1 = Keypair::new(); + let keypair2 = Keypair::new(); + + assert_ne!( + ElGamalSecretKey::new_from_signer(&keypair1, Pubkey::default().as_ref()) + .unwrap() + .0, + ElGamalSecretKey::new_from_signer(&keypair2, Pubkey::default().as_ref()) + .unwrap() + .0, + ); + + let null_signer = NullSigner::new(&Pubkey::default()); + assert!( + ElGamalSecretKey::new_from_signer(&null_signer, Pubkey::default().as_ref()).is_err() + ); + } + + #[test] + fn test_keypair_from_seed() { + let good_seed = vec![0; 32]; + assert!(ElGamalKeypair::from_seed(&good_seed).is_ok()); + + let too_short_seed = vec![0; 31]; + assert!(ElGamalKeypair::from_seed(&too_short_seed).is_err()); + + let too_long_seed = vec![0; 65536]; + assert!(ElGamalKeypair::from_seed(&too_long_seed).is_err()); + } + + #[test] + fn test_keypair_from_seed_phrase_and_passphrase() { + let mnemonic = Mnemonic::new(MnemonicType::Words12, Language::English); + let passphrase = "42"; + let seed = Seed::new(&mnemonic, passphrase); + let expected_keypair = ElGamalKeypair::from_seed(seed.as_bytes()).unwrap(); + let keypair = + ElGamalKeypair::from_seed_phrase_and_passphrase(mnemonic.phrase(), passphrase).unwrap(); + assert_eq!(keypair.public, expected_keypair.public); + } + + #[test] + fn test_decrypt_handle_bytes() { + let handle = DecryptHandle(RistrettoPoint::default()); + + let encoded = handle.to_bytes(); + let decoded = DecryptHandle::from_bytes(&encoded).unwrap(); + + assert_eq!(handle, decoded); + } + + #[test] + fn test_serde_decrypt_handle() { + let handle = DecryptHandle(RistrettoPoint::default()); + + let encoded = bincode::serialize(&handle).unwrap(); + let decoded: DecryptHandle = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(handle, decoded); + } +} diff --git a/zk-sdk/src/encryption/grouped_elgamal.rs b/zk-sdk/src/encryption/grouped_elgamal.rs new file mode 100644 index 00000000000000..c73e7bf2772ddb --- /dev/null +++ b/zk-sdk/src/encryption/grouped_elgamal.rs @@ -0,0 +1,293 @@ +//! The twisted ElGamal group encryption implementation. +//! +//! The message space consists of any number that is representable as a scalar (a.k.a. "exponent") +//! for Curve25519. +//! +//! A regular twisted ElGamal ciphertext consists of two components: +//! - A Pedersen commitment that encodes a message to be encrypted +//! - A "decryption handle" that binds the Pedersen opening to a specific public key +//! The ciphertext can be generalized to hold not a single decryption handle, but multiple handles +//! pertaining to multiple ElGamal public keys. These ciphertexts are referred to as a "grouped" +//! ElGamal ciphertext. +//! + +use { + crate::{ + encryption::{ + discrete_log::DiscreteLog, + elgamal::{DecryptHandle, ElGamalCiphertext, ElGamalPubkey, ElGamalSecretKey}, + pedersen::{Pedersen, PedersenCommitment, PedersenOpening}, + }, + RISTRETTO_POINT_LEN, + }, + curve25519_dalek::scalar::Scalar, + thiserror::Error, +}; + +#[derive(Error, Clone, Debug, Eq, PartialEq)] +pub enum GroupedElGamalError { + #[error("index out of bounds")] + IndexOutOfBounds, +} + +/// Algorithm handle for the grouped ElGamal encryption +pub struct GroupedElGamal; +impl GroupedElGamal { + /// Encrypts an amount under an array of ElGamal public keys. + /// + /// This function is randomized. It internally samples a scalar element using `OsRng`. + pub fn encrypt>( + pubkeys: [&ElGamalPubkey; N], + amount: T, + ) -> GroupedElGamalCiphertext { + let (commitment, opening) = Pedersen::new(amount); + let handles: [DecryptHandle; N] = pubkeys + .iter() + .map(|handle| handle.decrypt_handle(&opening)) + .collect::>() + .try_into() + .unwrap(); + + GroupedElGamalCiphertext { + commitment, + handles, + } + } + + /// Encrypts an amount under an array of ElGamal public keys using a specified Pedersen + /// opening. + pub fn encrypt_with>( + pubkeys: [&ElGamalPubkey; N], + amount: T, + opening: &PedersenOpening, + ) -> GroupedElGamalCiphertext { + let commitment = Pedersen::with(amount, opening); + let handles: [DecryptHandle; N] = pubkeys + .iter() + .map(|handle| handle.decrypt_handle(opening)) + .collect::>() + .try_into() + .unwrap(); + + GroupedElGamalCiphertext { + commitment, + handles, + } + } + + /// Converts a grouped ElGamal ciphertext into a regular ElGamal ciphertext using the decrypt + /// handle at a specified index. + fn to_elgamal_ciphertext( + grouped_ciphertext: &GroupedElGamalCiphertext, + index: usize, + ) -> Result { + let handle = grouped_ciphertext + .handles + .get(index) + .ok_or(GroupedElGamalError::IndexOutOfBounds)?; + + Ok(ElGamalCiphertext { + commitment: grouped_ciphertext.commitment, + handle: *handle, + }) + } + + /// Decrypts a grouped ElGamal ciphertext using an ElGamal secret key pertaining to a + /// decryption handle at a specified index. + /// + /// The output of this function is of type `DiscreteLog`. To recover the originally encrypted + /// amount, use `DiscreteLog::decode`. + fn decrypt( + grouped_ciphertext: &GroupedElGamalCiphertext, + secret: &ElGamalSecretKey, + index: usize, + ) -> Result { + Self::to_elgamal_ciphertext(grouped_ciphertext, index) + .map(|ciphertext| ciphertext.decrypt(secret)) + } + + /// Decrypts a grouped ElGamal ciphertext to a number that is interpreted as a positive 32-bit + /// number (but still of type `u64`). + /// + /// If the originally encrypted amount is not a positive 32-bit number, then the function + /// Result contains `None`. + fn decrypt_u32( + grouped_ciphertext: &GroupedElGamalCiphertext, + secret: &ElGamalSecretKey, + index: usize, + ) -> Result, GroupedElGamalError> { + Self::to_elgamal_ciphertext(grouped_ciphertext, index) + .map(|ciphertext| ciphertext.decrypt_u32(secret)) + } +} + +/// A grouped ElGamal ciphertext. +/// +/// The type is defined with a generic constant parameter that specifies the number of +/// decryption handles that the ciphertext holds. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct GroupedElGamalCiphertext { + pub commitment: PedersenCommitment, + pub handles: [DecryptHandle; N], +} + +impl GroupedElGamalCiphertext { + /// Decrypts the grouped ElGamal ciphertext using an ElGamal secret key pertaining to a + /// specified index. + /// + /// The output of this function is of type `DiscreteLog`. To recover the originally encrypted + /// amount, use `DiscreteLog::decode`. + pub fn decrypt( + &self, + secret: &ElGamalSecretKey, + index: usize, + ) -> Result { + GroupedElGamal::decrypt(self, secret, index) + } + + /// Decrypts the grouped ElGamal ciphertext to a number that is interpreted as a positive 32-bit + /// number (but still of type `u64`). + /// + /// If the originally encrypted amount is not a positive 32-bit number, then the function + /// returns `None`. + pub fn decrypt_u32( + &self, + secret: &ElGamalSecretKey, + index: usize, + ) -> Result, GroupedElGamalError> { + GroupedElGamal::decrypt_u32(self, secret, index) + } + + /// The expected length of a serialized grouped ElGamal ciphertext. + /// + /// A grouped ElGamal ciphertext consists of a Pedersen commitment and an array of decryption + /// handles. The commitment and decryption handles are each a single Curve25519 group element + /// that is serialized as 32 bytes. Therefore, the total byte length of a grouped ciphertext is + /// `(N+1) * 32`. + fn expected_byte_length() -> usize { + N.checked_add(1) + .and_then(|length| length.checked_mul(RISTRETTO_POINT_LEN)) + .unwrap() + } + + pub fn to_bytes(&self) -> Vec { + let mut buf = Vec::with_capacity(Self::expected_byte_length()); + buf.extend_from_slice(&self.commitment.to_bytes()); + self.handles + .iter() + .for_each(|handle| buf.extend_from_slice(&handle.to_bytes())); + buf + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + if bytes.len() != Self::expected_byte_length() { + return None; + } + + let mut iter = bytes.chunks(RISTRETTO_POINT_LEN); + let commitment = PedersenCommitment::from_bytes(iter.next()?)?; + + let mut handles = Vec::with_capacity(N); + for handle_bytes in iter { + handles.push(DecryptHandle::from_bytes(handle_bytes)?); + } + + Some(Self { + commitment, + handles: handles.try_into().unwrap(), + }) + } +} + +#[cfg(test)] +mod tests { + use {super::*, crate::encryption::elgamal::ElGamalKeypair}; + + #[test] + fn test_grouped_elgamal_encrypt_decrypt_correctness() { + let elgamal_keypair_0 = ElGamalKeypair::new_rand(); + let elgamal_keypair_1 = ElGamalKeypair::new_rand(); + let elgamal_keypair_2 = ElGamalKeypair::new_rand(); + + let amount: u64 = 10; + let grouped_ciphertext = GroupedElGamal::encrypt( + [ + elgamal_keypair_0.pubkey(), + elgamal_keypair_1.pubkey(), + elgamal_keypair_2.pubkey(), + ], + amount, + ); + + assert_eq!( + Some(amount), + grouped_ciphertext + .decrypt_u32(elgamal_keypair_0.secret(), 0) + .unwrap() + ); + + assert_eq!( + Some(amount), + grouped_ciphertext + .decrypt_u32(elgamal_keypair_1.secret(), 1) + .unwrap() + ); + + assert_eq!( + Some(amount), + grouped_ciphertext + .decrypt_u32(elgamal_keypair_2.secret(), 2) + .unwrap() + ); + + assert_eq!( + GroupedElGamalError::IndexOutOfBounds, + grouped_ciphertext + .decrypt_u32(elgamal_keypair_0.secret(), 3) + .unwrap_err() + ); + } + + #[test] + fn test_grouped_ciphertext_bytes() { + let elgamal_keypair_0 = ElGamalKeypair::new_rand(); + let elgamal_keypair_1 = ElGamalKeypair::new_rand(); + let elgamal_keypair_2 = ElGamalKeypair::new_rand(); + + let amount: u64 = 10; + let grouped_ciphertext = GroupedElGamal::encrypt( + [ + elgamal_keypair_0.pubkey(), + elgamal_keypair_1.pubkey(), + elgamal_keypair_2.pubkey(), + ], + amount, + ); + + let produced_bytes = grouped_ciphertext.to_bytes(); + assert_eq!(produced_bytes.len(), 128); + + let decoded_grouped_ciphertext = + GroupedElGamalCiphertext::<3>::from_bytes(&produced_bytes).unwrap(); + assert_eq!( + Some(amount), + decoded_grouped_ciphertext + .decrypt_u32(elgamal_keypair_0.secret(), 0) + .unwrap() + ); + + assert_eq!( + Some(amount), + decoded_grouped_ciphertext + .decrypt_u32(elgamal_keypair_1.secret(), 1) + .unwrap() + ); + + assert_eq!( + Some(amount), + decoded_grouped_ciphertext + .decrypt_u32(elgamal_keypair_2.secret(), 2) + .unwrap() + ); + } +} diff --git a/zk-sdk/src/encryption/macros.rs b/zk-sdk/src/encryption/macros.rs new file mode 100644 index 00000000000000..9d4efe4c7284e5 --- /dev/null +++ b/zk-sdk/src/encryption/macros.rs @@ -0,0 +1,74 @@ +macro_rules! define_add_variants { + (LHS = $lhs:ty, RHS = $rhs:ty, Output = $out:ty) => { + impl<'b> Add<&'b $rhs> for $lhs { + type Output = $out; + fn add(self, rhs: &'b $rhs) -> $out { + &self + rhs + } + } + + impl<'a> Add<$rhs> for &'a $lhs { + type Output = $out; + fn add(self, rhs: $rhs) -> $out { + self + &rhs + } + } + + impl Add<$rhs> for $lhs { + type Output = $out; + fn add(self, rhs: $rhs) -> $out { + &self + &rhs + } + } + }; +} + +macro_rules! define_sub_variants { + (LHS = $lhs:ty, RHS = $rhs:ty, Output = $out:ty) => { + impl<'b> Sub<&'b $rhs> for $lhs { + type Output = $out; + fn sub(self, rhs: &'b $rhs) -> $out { + &self - rhs + } + } + + impl<'a> Sub<$rhs> for &'a $lhs { + type Output = $out; + fn sub(self, rhs: $rhs) -> $out { + self - &rhs + } + } + + impl Sub<$rhs> for $lhs { + type Output = $out; + fn sub(self, rhs: $rhs) -> $out { + &self - &rhs + } + } + }; +} + +macro_rules! define_mul_variants { + (LHS = $lhs:ty, RHS = $rhs:ty, Output = $out:ty) => { + impl<'b> Mul<&'b $rhs> for $lhs { + type Output = $out; + fn mul(self, rhs: &'b $rhs) -> $out { + &self * rhs + } + } + + impl<'a> Mul<$rhs> for &'a $lhs { + type Output = $out; + fn mul(self, rhs: $rhs) -> $out { + self * &rhs + } + } + + impl Mul<$rhs> for $lhs { + type Output = $out; + fn mul(self, rhs: $rhs) -> $out { + &self * &rhs + } + } + }; +} diff --git a/zk-sdk/src/encryption/mod.rs b/zk-sdk/src/encryption/mod.rs new file mode 100644 index 00000000000000..d8e3724dc8df56 --- /dev/null +++ b/zk-sdk/src/encryption/mod.rs @@ -0,0 +1,20 @@ +//! Collection of encryption-related data structures and algorithms used in the Solana zk-token +//! protocol. +//! +//! The module contains implementations of the following cryptographic objects: +//! - Pedersen commitments that uses the prime-order Ristretto representation of Curve25519. +//! [curve25519-dalek](https://docs.rs/curve25519-dalek/latest/curve25519_dalek/ristretto/index.html) +//! is used for the Ristretto group implementation. +//! - The twisted ElGamal scheme, which converts Pedersen commitments into a public-key encryption +//! scheme. +//! - Basic type-wrapper around the AES-GCM-SIV symmetric authenticated encryption scheme +//! implemented by [aes-gcm-siv](https://docs.rs/aes-gcm-siv/latest/aes_gcm_siv/) crate. + +#[cfg(not(target_os = "solana"))] +#[macro_use] +pub(crate) mod macros; +pub mod auth_encryption; +pub mod discrete_log; +pub mod elgamal; +pub mod grouped_elgamal; +pub mod pedersen; diff --git a/zk-sdk/src/encryption/pedersen.rs b/zk-sdk/src/encryption/pedersen.rs new file mode 100644 index 00000000000000..2de593771590e6 --- /dev/null +++ b/zk-sdk/src/encryption/pedersen.rs @@ -0,0 +1,354 @@ +//! Pedersen commitment implementation using the Ristretto prime-order group. + +#[cfg(not(target_os = "solana"))] +use rand::rngs::OsRng; +use { + crate::{RISTRETTO_POINT_LEN, SCALAR_LEN}, + core::ops::{Add, Mul, Sub}, + curve25519_dalek::{ + constants::{RISTRETTO_BASEPOINT_COMPRESSED, RISTRETTO_BASEPOINT_POINT}, + ristretto::{CompressedRistretto, RistrettoPoint}, + scalar::Scalar, + traits::MultiscalarMul, + }, + serde::{Deserialize, Serialize}, + sha3::Sha3_512, + std::convert::TryInto, + subtle::{Choice, ConstantTimeEq}, + zeroize::Zeroize, +}; + +/// Byte length of a Pedersen opening. +const PEDERSEN_OPENING_LEN: usize = SCALAR_LEN; + +/// Byte length of a Pedersen commitment. +pub(crate) const PEDERSEN_COMMITMENT_LEN: usize = RISTRETTO_POINT_LEN; + +lazy_static::lazy_static! { + /// Pedersen base point for encoding messages to be committed. + pub static ref G: RistrettoPoint = RISTRETTO_BASEPOINT_POINT; + /// Pedersen base point for encoding the commitment openings. + pub static ref H: RistrettoPoint = + RistrettoPoint::hash_from_bytes::(RISTRETTO_BASEPOINT_COMPRESSED.as_bytes()); +} + +/// Algorithm handle for the Pedersen commitment scheme. +pub struct Pedersen; +impl Pedersen { + /// On input a message (numeric amount), the function returns a Pedersen commitment of the + /// message and the corresponding opening. + /// + /// This function is randomized. It internally samples a Pedersen opening using `OsRng`. + #[cfg(not(target_os = "solana"))] + #[allow(clippy::new_ret_no_self)] + pub fn new>(amount: T) -> (PedersenCommitment, PedersenOpening) { + let opening = PedersenOpening::new_rand(); + let commitment = Pedersen::with(amount, &opening); + + (commitment, opening) + } + + /// On input a message (numeric amount) and a Pedersen opening, the function returns the + /// corresponding Pedersen commitment. + /// + /// This function is deterministic. + #[allow(non_snake_case)] + pub fn with>(amount: T, opening: &PedersenOpening) -> PedersenCommitment { + let x: Scalar = amount.into(); + let r = opening.get_scalar(); + + PedersenCommitment(RistrettoPoint::multiscalar_mul(&[x, *r], &[*G, *H])) + } + + /// On input a message (numeric amount), the function returns a Pedersen commitment with zero + /// as the opening. + /// + /// This function is deterministic. + pub fn encode>(amount: T) -> PedersenCommitment { + PedersenCommitment(amount.into() * &(*G)) + } +} + +/// Pedersen opening type. +/// +/// Instances of Pedersen openings are zeroized on drop. +#[derive(Clone, Debug, Default, Serialize, Deserialize, Zeroize)] +#[zeroize(drop)] +pub struct PedersenOpening(Scalar); +impl PedersenOpening { + pub fn new(scalar: Scalar) -> Self { + Self(scalar) + } + + pub fn get_scalar(&self) -> &Scalar { + &self.0 + } + + #[cfg(not(target_os = "solana"))] + pub fn new_rand() -> Self { + PedersenOpening(Scalar::random(&mut OsRng)) + } + + pub fn as_bytes(&self) -> &[u8; PEDERSEN_OPENING_LEN] { + self.0.as_bytes() + } + + pub fn to_bytes(&self) -> [u8; PEDERSEN_OPENING_LEN] { + self.0.to_bytes() + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + match bytes.try_into() { + Ok(bytes) => Scalar::from_canonical_bytes(bytes).map(PedersenOpening), + _ => None, + } + } +} +impl Eq for PedersenOpening {} +impl PartialEq for PedersenOpening { + fn eq(&self, other: &Self) -> bool { + self.ct_eq(other).unwrap_u8() == 1u8 + } +} +impl ConstantTimeEq for PedersenOpening { + fn ct_eq(&self, other: &Self) -> Choice { + self.0.ct_eq(&other.0) + } +} + +impl<'a, 'b> Add<&'b PedersenOpening> for &'a PedersenOpening { + type Output = PedersenOpening; + + fn add(self, opening: &'b PedersenOpening) -> PedersenOpening { + PedersenOpening(&self.0 + &opening.0) + } +} + +define_add_variants!( + LHS = PedersenOpening, + RHS = PedersenOpening, + Output = PedersenOpening +); + +impl<'a, 'b> Sub<&'b PedersenOpening> for &'a PedersenOpening { + type Output = PedersenOpening; + + fn sub(self, opening: &'b PedersenOpening) -> PedersenOpening { + PedersenOpening(&self.0 - &opening.0) + } +} + +define_sub_variants!( + LHS = PedersenOpening, + RHS = PedersenOpening, + Output = PedersenOpening +); + +impl<'a, 'b> Mul<&'b Scalar> for &'a PedersenOpening { + type Output = PedersenOpening; + + fn mul(self, scalar: &'b Scalar) -> PedersenOpening { + PedersenOpening(&self.0 * scalar) + } +} + +define_mul_variants!( + LHS = PedersenOpening, + RHS = Scalar, + Output = PedersenOpening +); + +impl<'a, 'b> Mul<&'b PedersenOpening> for &'a Scalar { + type Output = PedersenOpening; + + fn mul(self, opening: &'b PedersenOpening) -> PedersenOpening { + PedersenOpening(self * &opening.0) + } +} + +define_mul_variants!( + LHS = Scalar, + RHS = PedersenOpening, + Output = PedersenOpening +); + +/// Pedersen commitment type. +#[derive(Clone, Copy, Debug, Default, Deserialize, Eq, PartialEq, Serialize)] +pub struct PedersenCommitment(RistrettoPoint); +impl PedersenCommitment { + pub fn new(point: RistrettoPoint) -> Self { + Self(point) + } + + pub fn get_point(&self) -> &RistrettoPoint { + &self.0 + } + + pub fn to_bytes(&self) -> [u8; PEDERSEN_COMMITMENT_LEN] { + self.0.compress().to_bytes() + } + + pub fn from_bytes(bytes: &[u8]) -> Option { + if bytes.len() != PEDERSEN_COMMITMENT_LEN { + return None; + } + + Some(PedersenCommitment( + CompressedRistretto::from_slice(bytes).decompress()?, + )) + } +} + +impl<'a, 'b> Add<&'b PedersenCommitment> for &'a PedersenCommitment { + type Output = PedersenCommitment; + + fn add(self, commitment: &'b PedersenCommitment) -> PedersenCommitment { + PedersenCommitment(&self.0 + &commitment.0) + } +} + +define_add_variants!( + LHS = PedersenCommitment, + RHS = PedersenCommitment, + Output = PedersenCommitment +); + +impl<'a, 'b> Sub<&'b PedersenCommitment> for &'a PedersenCommitment { + type Output = PedersenCommitment; + + fn sub(self, commitment: &'b PedersenCommitment) -> PedersenCommitment { + PedersenCommitment(&self.0 - &commitment.0) + } +} + +define_sub_variants!( + LHS = PedersenCommitment, + RHS = PedersenCommitment, + Output = PedersenCommitment +); + +impl<'a, 'b> Mul<&'b Scalar> for &'a PedersenCommitment { + type Output = PedersenCommitment; + + fn mul(self, scalar: &'b Scalar) -> PedersenCommitment { + PedersenCommitment(scalar * &self.0) + } +} + +define_mul_variants!( + LHS = PedersenCommitment, + RHS = Scalar, + Output = PedersenCommitment +); + +impl<'a, 'b> Mul<&'b PedersenCommitment> for &'a Scalar { + type Output = PedersenCommitment; + + fn mul(self, commitment: &'b PedersenCommitment) -> PedersenCommitment { + PedersenCommitment(self * &commitment.0) + } +} + +define_mul_variants!( + LHS = Scalar, + RHS = PedersenCommitment, + Output = PedersenCommitment +); + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn test_pedersen_homomorphic_addition() { + let amount_0: u64 = 77; + let amount_1: u64 = 57; + + let rng = &mut OsRng; + let opening_0 = PedersenOpening(Scalar::random(rng)); + let opening_1 = PedersenOpening(Scalar::random(rng)); + + let commitment_0 = Pedersen::with(amount_0, &opening_0); + let commitment_1 = Pedersen::with(amount_1, &opening_1); + let commitment_addition = Pedersen::with(amount_0 + amount_1, &(opening_0 + opening_1)); + + assert_eq!(commitment_addition, commitment_0 + commitment_1); + } + + #[test] + fn test_pedersen_homomorphic_subtraction() { + let amount_0: u64 = 77; + let amount_1: u64 = 57; + + let rng = &mut OsRng; + let opening_0 = PedersenOpening(Scalar::random(rng)); + let opening_1 = PedersenOpening(Scalar::random(rng)); + + let commitment_0 = Pedersen::with(amount_0, &opening_0); + let commitment_1 = Pedersen::with(amount_1, &opening_1); + let commitment_addition = Pedersen::with(amount_0 - amount_1, &(opening_0 - opening_1)); + + assert_eq!(commitment_addition, commitment_0 - commitment_1); + } + + #[test] + fn test_pedersen_homomorphic_multiplication() { + let amount_0: u64 = 77; + let amount_1: u64 = 57; + + let (commitment, opening) = Pedersen::new(amount_0); + let scalar = Scalar::from(amount_1); + let commitment_addition = Pedersen::with(amount_0 * amount_1, &(opening * scalar)); + + assert_eq!(commitment_addition, commitment * scalar); + assert_eq!(commitment_addition, scalar * commitment); + } + + #[test] + fn test_pedersen_commitment_bytes() { + let amount: u64 = 77; + let (commitment, _) = Pedersen::new(amount); + + let encoded = commitment.to_bytes(); + let decoded = PedersenCommitment::from_bytes(&encoded).unwrap(); + + assert_eq!(commitment, decoded); + + // incorrect length encoding + assert_eq!(PedersenCommitment::from_bytes(&[0; 33]), None); + } + + #[test] + fn test_pedersen_opening_bytes() { + let opening = PedersenOpening(Scalar::random(&mut OsRng)); + + let encoded = opening.to_bytes(); + let decoded = PedersenOpening::from_bytes(&encoded).unwrap(); + + assert_eq!(opening, decoded); + + // incorrect length encoding + assert_eq!(PedersenOpening::from_bytes(&[0; 33]), None); + } + + #[test] + fn test_serde_pedersen_commitment() { + let amount: u64 = 77; + let (commitment, _) = Pedersen::new(amount); + + let encoded = bincode::serialize(&commitment).unwrap(); + let decoded: PedersenCommitment = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(commitment, decoded); + } + + #[test] + fn test_serde_pedersen_opening() { + let opening = PedersenOpening(Scalar::random(&mut OsRng)); + + let encoded = bincode::serialize(&opening).unwrap(); + let decoded: PedersenOpening = bincode::deserialize(&encoded).unwrap(); + + assert_eq!(opening, decoded); + } +} diff --git a/zk-sdk/src/errors.rs b/zk-sdk/src/errors.rs new file mode 100644 index 00000000000000..5a7690fe436094 --- /dev/null +++ b/zk-sdk/src/errors.rs @@ -0,0 +1,32 @@ +//! Errors related to proving and verifying proofs. +use thiserror::Error; + +#[derive(Error, Clone, Debug, Eq, PartialEq)] +pub enum AuthenticatedEncryptionError { + #[error("key derivation method not supported")] + DerivationMethodNotSupported, + #[error("seed length too short for derivation")] + SeedLengthTooShort, + #[error("seed length too long for derivation")] + SeedLengthTooLong, + #[error("failed to deserialize")] + Deserialization, +} + +#[derive(Error, Clone, Debug, Eq, PartialEq)] +pub enum ElGamalError { + #[error("key derivation method not supported")] + DerivationMethodNotSupported, + #[error("seed length too short for derivation")] + SeedLengthTooShort, + #[error("seed length too long for derivation")] + SeedLengthTooLong, + #[error("failed to deserialize ciphertext")] + CiphertextDeserialization, + #[error("failed to deserialize public key")] + PubkeyDeserialization, + #[error("failed to deserialize keypair")] + KeypairDeserialization, + #[error("failed to deserialize secret key")] + SecretKeyDeserialization, +} diff --git a/zk-sdk/src/lib.rs b/zk-sdk/src/lib.rs index 7f4931d84cfd0a..699a3a8085bb90 100644 --- a/zk-sdk/src/lib.rs +++ b/zk-sdk/src/lib.rs @@ -1,2 +1,32 @@ //! The `solana-zk-sdk` crate contains tools to create and verify zero-knowledge proofs on //! encrypted data. + +// The warning `clippy::op_ref` is disabled to allow efficient operator arithmetic of structs that +// implement the `Copy` trait. +// +// ``` +// let opening_0: PedersenOpening = PedersenOpening::new_rand(); +// let opening_1: PedersenOpening = PedersenOpening::new_rand(); +// +// // since PedersenOpening implement `Copy`, `opening_0` and `opening_1` will be copied as +// // parameters before `opening_sum` is computed. +// let opening_sum = opening_0 + opening_1; +// +// // if passed in as references, the extra copies will not occur +// let opening_sum = &opening_0 + &opening_1; +// ``` +// +// `clippy::op_ref` is turned off to prevent clippy from warning that this is not idiomatic code. +#![allow(clippy::arithmetic_side_effects, clippy::op_ref)] + +#[cfg(not(target_os = "solana"))] +pub mod encryption; + +pub mod errors; + +/// Byte length of a compressed Ristretto point or scalar in Curve255519 +const UNIT_LEN: usize = 32; +/// Byte length of a compressed Ristretto point in Curve25519 +const RISTRETTO_POINT_LEN: usize = UNIT_LEN; +/// Byte length of a scalar in Curve25519 +const SCALAR_LEN: usize = UNIT_LEN;

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