基于广义离散傅里叶变换的Reed-Solomon码的一般构造

Q4 Mathematics

Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1338

N. Sahami, M. Mazrooei

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引用次数: 1

摘要

本文利用广义离散傅里叶变换的概念，利用多项式的Hasse导数，给出了特征不一定与码长共素数的伽罗瓦域上Reed-Solomon码的一般构造。所构造的线性码与经典的线性码一样，具有良好的代数性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A general construction of Reed-Solomon codes based on generalized discrete Fourier transform

In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes enjoy nice algebraic properties just as the classic one.

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来源期刊

Algebraic Structures and their Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量