Parameters of two classes of LCD BCH codes
August 09, 2016 Β· Declared Dead Β· π IEEE Transactions on Information Theory
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Authors
Shuxing Li, Chengju Li, Cunsheng Ding, Hao Liu
arXiv ID
1608.02670
Category
cs.IT: Information Theory
Citations
87
Venue
IEEE Transactions on Information Theory
Last Checked
4 months ago
Abstract
Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had application in data storage. Due to a newly discovered application in cryptography, there has been renewed interest on 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. As a byproduct, the parameters of some primitive BCH codes are also obtained.
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