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Two Families of LCD BCH Codes

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Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest… Click to show full abstract

Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special families of LCD cyclic codes, which are both BCH codes. The dimensions and the minimum distances of these LCD BCH codes are investigated.

Keywords: two families; cyclic codes; bch codes; families lcd; lcd bch

Journal Title: IEEE Transactions on Information Theory
Year Published: 2017

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