两类新的 MDS 符号对代码

IF 2.2 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2024-09-23 DOI:10.1109/TIT.2024.3466523

Xiaoshan Kai;Yajing Zhou;Shixin Zhu

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引用次数: 0

摘要

由于高密度数据存储系统的应用，人们提出了符号对编码来消除符号对读取通道上输出的重叠符号对的错误。最大距离可分（MDS）符号对编码是最佳编码，因为它们具有最高的符号对纠错能力。在本文中，我们以单根循环码为基础，构建了两类具有最小对距七的 MDS 符号对码。我们的技术是通过分解循环码和每个组成码的对偶来实现的。

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Two New Classes of MDS Symbol-Pair Codes

Due to the application of high density data storage systems, symbol-pair codes are proposed to combat errors of the overlapping symbol pairs output over symbol-pair read channels. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that they have the highest pair error-correcting capability. In this paper, we construct two new classes of MDS symbol-pair codes with minimum pair distance seven based on simple-root cyclic codes. Our technique is through the decomposition of cyclic codes and the dual of each component code.

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.