p3-field

A modular framework for finite fields: core field traits, generic binomial extension fields, and SIMD-packed field arithmetic.

Key items:

• PrimeCharacteristicRing, Algebra, Field, PrimeField, TwoAdicField — the core algebraic trait hierarchy
• ExtensionField, BasedVectorSpace and the extension module — generic binomial extension fields
• PackedField / PackedValue — SIMD-packed arithmetic abstractions
• coset, exponentiation, batch inversion and dot-product helpers

Concrete field implementations live in their own crates (p3-baby-bear, p3-koala-bear, p3-goldilocks, p3-mersenne-31, p3-bn254).

Part of Plonky3, dual-licensed under MIT and Apache 2.0.