WebOct 20, 2024 · 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 … WebA subclass of attractive BCH codes is the narrow-sense BCH codes over the Galois field \mathrm{GF}(q) \mathrm{GF}(q) with length q+1 q+1 , which are closely related to the action of the projective general linear group of degree two on the projective line.
Two Families of LCD BCH Codes - [scite report]
WebTable 2 - "Ternary primitive LCD BCH codes" Table 2 - "Ternary primitive LCD BCH codes" Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 211,416,502 papers from all fields of science. Search. Sign In Create Free Account. DOI: 10.3934/AMC.2024014; WebAug 9, 2016 · 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. This is a merged version of arXiv:1608.02169v1 [cs.IT] and arXiv:1608.02670v1 … restaurants in warfield
Ternary Primitive LCD BCH codes - aimsciences.org
WebJun 29, 2024 · Several new families of LCD negacyclic codes and LCD BCH codes over ${\bf F}_3$ are also constructed. Our method can be applied to the generalized Reed-Solomon codes and the generalized twisted Reed-Solomon codes to construct arbitrary dimension hull MDS codes. WebHistorically, 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 … WebNov 29, 2024 · Two families of LCD BCH codes, IEEE Transactions on Information Theory, 2024, 63(9): 5699–5717. MathSciNet MATH Google Scholar Güneri C, Özkaya B and Solé … provision family farms