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 … 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 …

Parameters of LCD BCH codes with two lengths

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 … 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 … triceps weight training exercises

On the Hull-Variation Problem of Equivalent Linear Codes IEEE ...

WebApr 9, 2024 · This is the first paper on the construction of LCD MDS codes of non ... This paper settles the long-standing problem by presenting an infinite family of BCH codes of length holding an infinite family with subfield subcodes of these two families of codes are studied, and are ... 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). 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 … triceps with caroline