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What ❔
This pull request adds tower extension implementation for fields
It adds$\mathbb{F}_{p^2}$ struct and implements most basic operations over $\mathbb{F}_{p^6}$ and $\mathbb{F}_{p^{12}}$ .
NonNativeField<F, T>
implementation forWhy ❔
EC Pairing heavily relies on exploiting standard field extension$\mathbb{F}_p$ . Although the standard field is already convered in the codebase, the fields extensions cannot be easily managed currently.
Checklist
zk fmt
andzk lint
.