Then C ( q , n , δ , b ) is called a BCH code of length n and designed distance δ . When b = 1 , C ( q , n , δ , b ) is called a narrow-sense BCH code.
The dimensions of the codes with designed distance are presented and several classes of LCD BCH codes are given and their parameters are determined or ...
In this paper, we study LCD BCH codes over the finite field GF(q) with two types of lengths n, where n = q(l) + 1 and n = (q(l) + 1)/(q + 1). Several classes of ...
Aug 9, 2016 · Abstract:Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had application in data storage.
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In this paper, we study LCD BCH codes over the finite field GF(q) with two types of lengths n, where n = q(l) + 1 and n = (q(l) + 1)/(q + 1). Several classes of ...
The dimensions and the minimum distances of two special families of LCD cyclic codes, which are both BCH codes, are investigated. Historically, LCD cyclic ...
In this paper, we study BCH codes of lengths q m + 1 q + 1 and q m + 1 over the finite field F q , both of which are LCD codes. The dimensions of narrow-sense ...
The objective of this paper is to construct a class of LCD codes, which are also BCH codes. The dimensions and the minimum distances of these LCD cyclic codes ...
Jan 26, 2024 · In this paper, we study the dual codes of narrow-sense cyclic BCH codes of length q^m+1 over a finite field \mathbb{F}_q, where q is an odd prime power.
Jun 8, 2020 · Bibliographic details on Parameters of LCD BCH codes with two lengths.