diff --git a/cpp/dockerfiles/Dockerfile.wasm-linux-clang b/cpp/dockerfiles/Dockerfile.wasm-linux-clang
index 19fd4d7114..d1c41f0ce7 100644
--- a/cpp/dockerfiles/Dockerfile.wasm-linux-clang
+++ b/cpp/dockerfiles/Dockerfile.wasm-linux-clang
@@ -5,11 +5,11 @@ WORKDIR /usr/src/barretenberg/cpp/src
 RUN curl -s -L https://github.com/CraneStation/wasi-sdk/releases/download/wasi-sdk-12/wasi-sdk-12.0-linux.tar.gz | tar zxfv -
 WORKDIR /usr/src/barretenberg/cpp
 COPY . .
-# Build both honk_tests barretenberg.wasm a3crypto.wasm
+# Build both honk_tests barretenberg.wasm primitives.wasm
 # This ensures that we aren't using features that would be incompatible with WASM for Honk
-RUN cmake --preset wasm && cmake --build --preset wasm --target honk_tests --target barretenberg.wasm --target a3crypto.wasm
+RUN cmake --preset wasm && cmake --build --preset wasm --target honk_tests --target barretenberg.wasm --target primitives.wasm
 
 FROM alpine:3.17
 COPY --from=builder /usr/src/barretenberg/cpp/build-wasm/bin/barretenberg.wasm /usr/src/barretenberg/cpp/build/bin/barretenberg.wasm
-COPY --from=builder /usr/src/barretenberg/cpp/build-wasm/bin/a3crypto.wasm /usr/src/barretenberg/cpp/build/bin/a3crypto.wasm
+COPY --from=builder /usr/src/barretenberg/cpp/build-wasm/bin/primitives.wasm /usr/src/barretenberg/cpp/build/bin/primitives.wasm
 COPY --from=builder /usr/src/barretenberg/cpp/build-wasm/bin/*_tests /usr/src/barretenberg/cpp/build/bin/
diff --git a/cpp/src/CMakeLists.txt b/cpp/src/CMakeLists.txt
index 45d92538ce..d32aa2beb2 100644
--- a/cpp/src/CMakeLists.txt
+++ b/cpp/src/CMakeLists.txt
@@ -111,8 +111,10 @@ if(WASM)
         -nostartfiles -O2 -Wl,--no-entry -Wl,--export-dynamic -Wl,--import-memory -Wl,--allow-undefined -Wl,--stack-first -Wl,-z,stack-size=1048576
     )
 
+    # Repeat the above but for the smaller primitives.wasm
+    # Used in packages where we don't need the full contents of barretenberg
     add_executable(
-        a3crypto.wasm
+        primitives.wasm
         $<TARGET_OBJECTS:numeric_objects>
         $<TARGET_OBJECTS:crypto_sha256_objects>
         $<TARGET_OBJECTS:crypto_aes128_objects>
@@ -126,7 +128,7 @@ if(WASM)
     )
 
     target_link_options(
-        a3crypto.wasm
+        primitives.wasm
         PRIVATE
         -nostartfiles -O2 -Wl,--no-entry -Wl,--export-dynamic -Wl,--import-memory -Wl,--allow-undefined -Wl,--stack-first -Wl,-z,stack-size=1048576
     )
@@ -145,9 +147,9 @@ if(WASM)
     )
 
     add_custom_command(
-        TARGET a3crypto.wasm
+        TARGET primitives.wasm
         POST_BUILD
-        COMMAND wasm-opt "$<TARGET_FILE:a3crypto.wasm>" -O2 --asyncify -o "$<TARGET_FILE:a3crypto.wasm>"
+        COMMAND wasm-opt "$<TARGET_FILE:primitives.wasm>" -O2 -o "$<TARGET_FILE:primitives.wasm>"
         VERBATIM
     )