Encoding through generalized polynomial codes

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2011-08-31 DOI:10.1590/S1807-03022011000200006

T. Shah, Atlas Khan, A. A. Andrade

引用次数: 22

Abstract

This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1].

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通过广义多项式码进行编码

本文介绍了用半群环代替多项式环构造循环码的新方法。这些结构被应用于定义和研究BCH、alternate、Goppa和Srivastava代码。这使得改进Andrade和Palazzo最近的几个结果成为可能[1]。

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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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.