BaseRedJubJubPoint<SCALAR extends JubJubScalar<SCALAR>> class abstract

Native vs Non-Native representations

• Both native and non-native field implementations are backed by BigInt.

• Non-native types (e.g. JubJubFq, JubJubPoint) represent field elements as multiple fixed-size limbs (typically 4 BigInts) and use algorithms written in a constant-time style. However, because they rely on BigInt, these implementations are not guaranteed to be constant-time at the machine level and should not be considered fully side-channel resistant. They are, however, safer than native representations.

• Native types (e.g. JubJubNativeFq, JubJubNativePoint) represent each field element as a single BigInt and use variable-time algorithms. These are not constant-time and are not intended to be safe against side-channel attacks.

Both representations share identical curve and algebraic semantics; the differences lie in representation, performance, and side-channel behavior.

Base abstract class for JubJub points in extended/projective coordinates.