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Two families of lcd bch codes

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 https://wakehamequipment.com

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

The Hermitian dual-containing LCD BCH codes and related …

Category:Two families of negacyclic BCH codes SpringerLink

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Two families of lcd bch codes

Shuxing Li, Chengju Li, Cunsheng Ding, Hao Liu - arXiv

WebJan 1, 2024 · Download Citation On Jan 1, 2024, Jiayuan Zhang and others published Some results on BCH codes of length $ \frac{{{q^m} + 1}}{2} Find, read and cite all the research …

Two families of lcd bch codes

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Web2 determine the dimensions of LCD BCH codes C (q;n;2d;n d+1), with 2 d q(m+1)=2 when m is odd, and with 2 d 2qm=2 when m is even. In Theorem 34, we determine the dimensions … WebJan 4, 2024 · On the opposite direction we prove that a linear LCD code over F 2 s satisfying d ≥ 2 and d ⊥ ≥ 2 is equivalent to a linear one-dimension hull code under a weak condition. Several new families of LCD negacyclic codes and …

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 … WebJul 4, 2024 · The dimensions and the minimum distances of two special families of LCD cyclic codes, which are both BCH codes, are investigated. Historically, LCD cyclic codes …

WebDec 30, 2024 · Despite its interest, not much is known about this class of BCH codes. This paper aims to study some of the codes within this class and specifically narrow-sense antiprimitive BCH codes (these codes are also linear complementary duals (LCD) codes that have interesting practical recent applications in cryptography, among other benefits). 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 …

Web5 be a polynomial over GF(q)with gt 6= 0 and g0 6= 0, the reciprocal g∗(x)of g(x)is defined by g∗(x)=g−1 0 x tg(x−1). The following basic results about negacyclic LCD codes over finite fields were given in [25]. Lemma 1. [25, Theorem 3.2] Let C be a negacyclic code of length n over GF(q)with generator polynomial g(x).

WebMar 22, 2024 · Two Families of LCD BCH Codes. Article. Full-text available. Jul 2024; IEEE T INFORM THEORY; ... In this paper, we explore two special families of LCD cyclic codes, … provision facebookWebJan 31, 2024 · In this paper, we investigate the structure of binary linear complementary dual (LCD) BCH codes with length n = 2 m + 1 3, where m ≥ 7 is an odd integer. By exploring … restaurants in ware hertsWebJul 26, 2024 · In this paper, we study LCD BCH codes over the finite field GF \begin{document}$(q)$\end{document} with two types of ... BCH codes with length is … restaurants in wark northumberlandWeb5 be a polynomial over GF(q)with gt 6= 0 and g0 6= 0, the reciprocal g∗(x)of g(x)is defined by g∗(x)=g−1 0 x tg(x−1). The following basic results about negacyclic LCD codes over … restaurants in warehouse district new orleansWebHistorically, 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 … restaurants in warlingham surreyWebJan 1, 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 … restaurants in warillaWebMar 22, 2024 · Negacyclic BCH codes are a subclass of neagcyclic codes and are the best linear codes in many cases. However, there have been very few results on negacyclic BCH … provision facturas