Abstract: Modular inversion, the multiplicative inverse of an integer in the ring of integers modulo a prime number, is widely used in public-key cryptography. However, it is one of the most ...
The repository contains the implementation of a groth16 SNARK verifier that is executable via the optimistic BitVM paradigm on Bitcoin without any soft forks. It is designed to be modular, allowing ...
A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...
ABSTRACT: A cryptosystem based on computation of square roots of complex integers modulo composite n is described in this paper. This paper provides an algorithm extracting a square root of Gaussian ...
Abstract: In lattice-based postquantum cryptography (PQC), polynomial multiplication is complex and time-consuming, which affects the overall computational efficiency. In addition, the parameters of ...
Quantum Binary Field Multiplication with Optimized Toffoli Depth and Extension to Quantum Inversion.
The Shor's algorithm can find solutions to the discrete logarithm problem on binary elliptic curves in polynomial time. A major challenge in implementing Shor's algorithm is the overhead of ...
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