In this chapter we study elliptic curves defined over a finite field $$\mathbb{F}_{q}$$ . The most important arithm
Finite fieldr-th rootCipolla-Lehmer algorithmAdleman-Manders-Miller algorithmPrimitive rootIn this paper, we present a refinement of the Cipolla-Lehmer type algorithm given by H. C. Williams in 1972, and later improved by K. S. Williams and K. Hardy in 1993. For a given r-th power ...
Script generated finite field arithmetic for "fast enough" elliptic curve cryptography. See https://eprint.iacr.org/2024/779 This repository contains Python 3 scripts for the automatic generation of efficent code for multi-precision modular arithmetic, for 16, 32 and 64-bit architectures, in C ...
This can be exhausted by the SageMath software running on a personal computer. To facilitate the computation, some requirements after linear transformations and equations by Hermite's criterion are provided for the polynomial coefficients. The main result is that a non-exceptional PP f of degree 7...
Free-field two-point functions define anN-dependent inner product on the PCA, and bases of operators have been constructed which are orthogonal at finiteN. Two such bases are well-known, the restricted Schur and covariant bases, and both definitions involve representation-theoretic quantities such ...