Binary primitive lcd bch codes
WebJul 15, 2024 · The binary primitive BCH codes are cyclic and are constructed by choosing a subset of the cyclotomic cosets. Which subset is chosen determines the dimension, the … WebSep 1, 2024 · A novel method based on Euclidean algorithm is proposed to solve the problem of blind recognition of binary Bose–Chaudhuri–Hocquenghem (BCH) codes in non-cooperative applications. By carrying out iterative Euclidean divisions on the demodulator output bit-stream, the proposed method can determine the codeword length …
Binary primitive lcd bch codes
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WebApr 9, 2024 · Ternary primitive LCD BCH codes Xinmei Huang, Qin Yue, Yansheng Wu, Xiaoping Shi Absolute coset leaders were first proposed by the authors which have … WebNov 8, 2024 · Especially for binary primitive narrow-sense BCH codes, the new bounds on the minimum distances of the dual codes improve the classical Sidel’nikov bound, and …
WebSep 3, 2024 · Binary primitive LCD BCH codes Authors (first, second and last of 5) Xinmei Huang; Qin Yue; Jerod Michel; Content type: OriginalPaper Published: 03 September 2024; Pages: 2453 - 2473; Optimal minimal linear codes from posets Authors (first, second and last of 4) Jong Yoon Hyun; WebJul 1, 2016 · We describe binary and ternary LCD codes constructed as subfield-subcodes of $J$-affine variety codes and provide some new and good LCD codes coming from …
Web2454 X.Huangetal. Fq[x]/ xn −1 isaprincipleidealringandC isgeneratedbyamonicdivisor g(x)of xn −1. Here g(x) is called the generator polynomial of the code C, and we write =g(x). Let Zn ={0,1,...,n − 1} be the ring of integers modulo n.Fors ∈ Zn, assume that ls is the smallest positive integer such that sqls ≡ s (mod n).Then the q-cyclotomic coset containing s is … WebSep 3, 2024 · Comparing coset leaders, we introduce the new concept of absolute coset leaders, which provides advantages for constructing LCD BCH codes. We then give explicit presentations for the largest, second largest and third largest absolute coset leaders …
WebThe (Euclidean) hull of a linear code is defined to be the intersection of the code and its Euclidean dual. It is clear that the hulls are self-orthogonal codes, which are an important type of linear codes due to their wide applications in communication and cryptography. Let C ( 2, n, δ) be the binary primitive narrow-sense BCH code, where n ...
WebBuild on my earlier blog of a Hamming cyclic code of ( n, k, d) = ( 15, 11, 3), I will expand its capability to a binary BCH ( 15, 7, 5), t = 2 code based on the same primitive … sharon case beauty secretsWebAbsolute coset leaders were first proposed by the authors which have advantages in constructing binary LCD BCH codes. As a continue work, in this paper we focus on ternary linear codes. Firstly, we find the largest, second largest, and third largest absolute coset leaders of ternary primitive BCH codes. Secondly, we present three classes of ternary … sharon case leaving young restlessWebcorrecting code can be any primitive polynomial, say of degree r. A primitive polynomial is a prime (non-factorable) polynomial such that every polynomial of ... for simplicity, restrict to the binary eld and study binary BCH codes. 1 The BCH Code Denote messages, generators (encoding polynomials), codewords, and received mes- population of thangool qldWebDec 19, 2024 · Ternary primitive LCD BCH codes ... The binary BCH codes were introduced independently by Hocquenghem in 1959 Hocquenghem and by Bose and Ray-Chaudhuri in 1960 Bose1 Bose2 . Immediately afterwards Gorenstein and Zierler generalized binary BCH codes to all finite fields. Since then, BCH codes have been … population of the australia 2022WebLi S Li C Ding C Liu H Two families of LCD BCH codes IEEE Trans. Inf. Theory 2024 63 9 5699 5717 36880551374.94845 Google Scholar Digital Library 14. Li C Wu P Liu F On … population of the baltic statesWebJul 1, 2016 · Binary primitive LCD BCH codes. December 2024 · Designs Codes and Cryptography. ... third largest absolute coset leaders and use them to construct binary LCD BCH codes. Lastly, we determine the ... population of the bahamas 2022http://souktha.github.io/misc/bch15_7_5/ sharon case body measurements