Binary primitive lcd bch codes

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August undefined, 2024

WebMar 7, 2024 · A BCH code of length n over Fq is always relative to an n-th primitive root of unity β in an extension field of Fq, and is called a dually-BCH code if its dual is also a BCH code relative to the ... WebSep 6, 2024 · A code C is a linear complementary dual (LCD) code if $C\cap C^\perp =\{0\}$.LCD codes were introduced by Massey [] and gave an optimum linear coding solution for the two user binary adder channel.The classification of LCD [n, k] codes and determination of the largest minimum weight among all LCD [n, k] codes are …

Some binary BCH codes with length $n=2^m+1 - ResearchGate

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; WebNov 30, 2024 · Absolute 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 … pops burger and pizza house sheboygan

[2107.07401] On Hard and Soft Decision Decoding of BCH …

WebTernary Primitive LCD BCH codes Xinmei Huang 1,2 , Qin Yue 3 , Yansheng Wu 4 and Xiaoping Shi 5 1. Department of Mathematics, Jinling Institute of Technology, Nanjing, … WebLCD codes for all parameters. In [24], Zhou et al. proposed some binary LCD codes and self-orthogonal codes. In this paper, we will always assume that n = 2m −1andthatα is a … 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 minimum distance and the weight distribution of the BCH code. We construct possible BCH codes and determine their coderate, true minimum distance and the non-equivalent … popsbsblar now on bing

Hermitian dual containing BCH codes and Construction of

WebFor a t-error correcting code, the generator polynomial Q(x) of standard BCH codes has the form Q(x) = p(x)p3(x)p5(x) p2t 1(x) (3) where p(x) is a primitve polynomial and all the … WebZhou et al. [28] obtained optimal or almost optimal binary LCD codes by using a generic construction. Liu et al. [16] discussed the dimension of some binary LCD BCH codes of length 2 m + 1. pops buildingWebThe BCH Encoder block creates a BCH code with message length K and codeword length ( N – number of punctures). If the encoder is processing multiple codewords per frame, then the same puncture pattern holds for all codewords. The input and output signal lengths are listed in Input and Output Signal Length in BCH Blocks. pops burger bad cannstatt

"WebDec 1, 2024 · Binary primitive LCD BCH codes Xinmei Huang 1,2 · Qin Yue 2,3 · Yansheng Wu 4 · Xiaoping Shi 5 · Jerod Michel 6 Received: 7 April 2024 / Revised: 10 … " - Binary primitive lcd bch codes

Binary primitive lcd bch codes

[2104.04193] Ternary primitive LCD BCH codes - arXiv.org

WebJul 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 ... WebFurthermore, we mainly focus on the primitive q-ary BCH codes C ( q , n , δ , b ) when b = 0 and b = 1 based on the general characterization. ... The weight distributions of extended binary primitive BCH codes of length 128, ... Binary LCD codes and self-orthogonal codes from a generic construction, IEEE Trans. Inf. Theory 65 (1) (2024) 16 ...

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WebIn 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 … WebLi 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 …

WebIn this paper, we consider narrow-sense BCH codes of length n = q m − 1 N with designed distance δ = s q − 1 n proportional to n, where N divides q m − 1 q − 1 and 1 ≤ s ≤ q − 1. … WebDec 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 …

WebNov 2, 2024 · A pair of linear codes (C, D) of length n over $$\\mathbb {F}_q$$ F q is called a linear complementary pair (LCP) if their direct sum yields the full space $$\\mathbb {F}_q^n$$ F q n . By a result of Carlet et al. (2024), the best security parameters of binary LCPs of codes are left open. Motivated by this, we study binary LCPs of codes. We … WebDec 21, 2024 · Bose-Chaudhuri-Hocquenghem (BCH) codes have been intensively investigated. Even so, there is only a little known about primitive BCH codes, let alone non-primitive ones.

WebLi 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 … pops building suppliesWebA t-error-correcting binary BCH code is capable of correcting any combination of t or fewer errors in a block of n = 2m-1 digits. For any positive integer m ≥3 and t < 2m-1, there exists a binary BCH code with the following parameters: Block length: n = 2m - 1 Number of information bits: k≥ n-m*t Minimum distance: d min ≥ 2t + 1. pops building supplies charlotteWebThe (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 ... pops building supply ashevilleWebJul 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 … pops burger and pizza houseWebSep 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 … sharing teams recordings with external usersWebApr 9, 2024 · Secondly, we present three classes of ternary primitive BCH codes and determine their weight distributions. Finally, we obtain some LCD BCH codes and … pops burgers and pizza sheboygan menuhttp://souktha.github.io/misc/bch15_7_5/ pops burgers sheboygan