An equivalence based classification of [6, 3, 4] error correcting codes over GF(5)

IF 1.2 Q2 MATHEMATICS, APPLIED

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY Pub Date : 2022-07-04 DOI:10.1080/09720529.2022.2026625

Sharmin Sultana, H. Akter, P. Dey

引用次数: 0

Abstract

Abstract We were able to classify all 1-error correcting [5, 3] codes over GF(5) in paper [1] and [5, 2] ternary codes in paper [2]. Now, our focus is an equivalence based classification of error correcting linear codes of length 6 over GF(5). In paper [3], we investigated the equivalence of [6,3,4] codes of length 6 and dimension 3 over GF(4). In this paper we classify the [6,3,4] codes over GF(5). We explore the weight distribution of these codes as well as their duals.

查看原文本刊更多论文

GF（5）上[6,3,4]纠错码的等价分类

摘要我们能够对文[1]中GF（5）上的所有1-纠错[5，3]码和文[2]中的[5，2]三进制码进行分类。现在，我们的重点是GF（5）上长度为6的纠错线性码的基于等价的分类。在文[3]中，我们研究了GF（4）上长度为6、维数为3的[6、3、4]码的等价性。本文对GF（5）上的[6，3，4]码进行了分类。我们探索了这些代码的权重分布以及它们的对偶。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

21.40%

发文量

126