3 days ago · Abstract. Multi-scalar multiplication (MSM) is a fundamental compo- nent in many zero-knowledge succinct non-interactive argument systems.
Dec 16, 2024 · We briefly sketch the Cocks–Pinch idea to generate a pairing-friendly curve of given embedding degree k. Choose a small discriminant D > 0 and a prime integer ...
Dec 17, 2024 · The known way to multiply scalars and elliptic curve points relies on what is known as the double-and-add algorithm and is presented in Algorithm 1 for a scalar ...
Dec 11, 2024 · scalar multiplication algorithm proceeds the same way multiplication on the input curve would. ... Generates pairing friendly curves. Used with the -F / --family ...
Dec 11, 2024 · These modules support low-level operations such as: scalar multiplication of elliptic curve points; multi-scalar multiplications (MSMs); pairings; scalar ...
Dec 17, 2024 · The known way to multiply scalars and elliptic curve points relies on what is known as the double-and-add algorithm and is presented in Algorithm 1 for a ...
Dec 1, 2024 · There are so many books on modular forms and elliptic curves that it might seem useless to add another one. None of these books approach modular forms from ...
Missing: Scalar Friendly
Dec 9, 2024 · This document describes the BBS Signature scheme, a secure, multi-message digital signature protocol, supporting proving knowledge of a signature.
Dec 11, 2024 · The Nexus Proof System relies on modern recursive zero-knowledge proof systems such as folding and accumulation schemes.
Dec 1, 2024 · We construct a variant of Weil pairing to reduce the elliptic curve discrete logarithm problem to the discrete logarithm problem in the multiplicative subgroup ...