LCD Cyclic Codes Over Finite Fields

2017196 citationsJournal Article

Authors

Chengju Li · Shanghai Key Laboratory of Trustworthy Computing

Cunsheng Ding · Hong Kong University of Science and Technology

Shuxing Li · Hong Kong University of Science and Technology

Abstract

In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual (LCD) codes-a class of linear codes-have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objective of this paper is to construct several families of reversible cyclic codes over finite fields and analyze their parameters. The LCD cyclic codes presented in this paper have very good parameters in general, and contain many optimal codes. A well rounded treatment of reversible cyclic codes is also given in this paper.

Topics & Keywords

Coding theory and cryptography Cryptographic Implementations and Security Cellular Automata and Applications

Publication Details

Published in: IEEE Transactions on Information Theory

Volume 63, Issue 7, pp. 4344-4356

DOI: 10.1109/tit.2017.2672961

Field-Weighted Citation Impact: 15.90

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LCD Cyclic Codes Over Finite Fields

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Abstract

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Publication Details