[Resource Topic] 2009/471: Improving the Berlekamp algorithm for binomials \boldmath$x^{n} - a$

Welcome to the resource topic for 2009/471

Title:
Improving the Berlekamp algorithm for binomials \boldmath$x^{n} - a$

Authors: Ryuichi Harasawa, Yutaka Sueyoshi, Aichi Kudo, Liang Cui

Abstract:

In this paper, we describe an improvement of the Berlekamp algorithm for binomials x^n - a over prime fields \mathbb{F}_{p}. We implement the proposed method for various cases and compare the results with the original Berlekamp method. The proposed method can be extended easily to the case where the base field is not a prime field.

ePrint: https://eprint.iacr.org/2009/471

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