消耗 发表于 2025-4-1 03:57:34

Towards Optimal Toom-Cook Multiplication for Univariate and Multivariate Polynomials in Characteristis proposed to find the faster Toom multiplication algorithm for any given splitting order. New results found with it, for polynomials in characteristic 2, are presented..A new extension for multivariate polynomials is also introduced; through a new definition of density leading Toom strategy to be efficient.

黑豹 发表于 2025-4-1 08:37:39

The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functionsns. In the present paper we prove that the answer to this question is positive. By this method we construct a class of APN polynomials EA-inequivalent to power functions. On the other hand it is shown that the APN polynomials constructed by Budaghyan, Carlet and Pott cannot be obtained by the introduced method.

滔滔不绝地讲 发表于 2025-4-1 11:58:46

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等级的上升 发表于 2025-4-1 16:32:18

https://doi.org/10.1007/978-1-4302-6008-0(CRCs), linear feedback shift-registers (LFSRs), and implementations of the Advanced Encryption Standard (AES) algorithm. As the proposed algorithm can utilize cancellation of terms it outperforms in general previously proposed algorithms based on sub-expression sharing.

ASSAY 发表于 2025-4-1 20:45:30

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查看完整版本: Titlebook: Arithmetic of Finite Fields; First International Claude Carlet,Berk Sunar Conference proceedings 2007 Springer-Verlag Berlin Heidelberg 20