The q-ary antiprimitive bch codes

Webb19 sep. 2024 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebbNotably, the dimension, the minimum distance of some q q -ary BCH codes with length q+1 q+1 , and their duals are determined in this paper. The dual codes of the narrow-sense …

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Webb28 sep. 2024 · The -ary antiprimitive BCH codes Hongwei Zhu, Minjia Shi, Xiaoqiang Wang, Tor Helleseth It is well-known that cyclic codes have efficient encoding and decoding … http://en.cim.nankai.edu.cn/info/1257/2324.htm green valley theater https://selbornewoodcraft.com

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WebbMentioning: 10 - Artin-Schreier curves and codes - Geer, Gerard van der, Vlugt, Marcel van der WebbENCODING AND DECODING OF BCH CODES USING LIGHT AND SHORT CODEWORDS RON M. ROTH * AND GADIEL SEROUSSI ** ABSTRACT It is shown that everyq-ary primitive BCH code of designed distanceδ and sufficiently large length n contains a codewordc 0 of weightw = O(δ), and degree deg(c 0) = o(n).These so calledlight and short codewords are … Given a prime number q and prime power q with positive integers m and d such that d ≤ q − 1, a primitive narrow-sense BCH code over the finite field (or Galois field) GF(q) with code length n = q − 1 and distance at least d is constructed by the following method. Let α be a primitive element of GF(q ). For any positive integer i, let mi(x) be the minimal polynomial with coefficients in GF(q) of α . The generator polynomial of the BCH code is defined as the least … fnf monkey gf

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The q-ary antiprimitive bch codes

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http://www.cim.nankai.edu.cn/xsbg/list4.htm WebbDetermining the dimensions of BCH codes is a challenging problem in coding theory. In this paper, we study BCH codes of length q m + 1 2, for odd m and m ≡ 2 ( mod 4). The first …

The q-ary antiprimitive bch codes

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WebbThis 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 … WebbThe objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters. Some lower bounds on the minimum distance of antiprimitive BCH …

WebbThe objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters, finding good parameters in general and containing many optimal linear … Webb30 nov. 2024 · The objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters. Some lower bounds on the minimum distance of antiprimitive BCH codes are given. The BCH codes presented in this paper have good …

Webb19 nov. 2024 · In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of thistalk is to study BCH codes of this type over finite fields and analyse their parameters.... Webb31 jan. 2024 · BCH codes are a special subclass of cyclic codes and have many important applications in data storage and communication systems. 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.

Webb4 juni 2024 · Academic literature on the topic 'BCH codes' Author: Grafiati. Published: 4 June 2024 Last updated: 5 February 2024 Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles. Select a source type: Book Website Journal article ...

WebbBCH codes are called narrow-sense when b = 1, and are called primitive when n = 2 r − 1 for some r ≥ 2. The code dimension is related to the multiplicative order of 2 modulo n, i.e., … green valley tennis club haddon townshipWebbArticle “The $q$-ary antiprimitive BCH codes” Detailed information of the J-GLOBAL is a service based on the concept of Linking, Expanding, and Sparking, linking science and … green valley thaiWebbENCODING AND DECODING OF BCH CODES USING LIGHT AND SHORT CODEWORDS RON M. ROTH * AND GADIEL SEROUSSI ** ABSTRACT It is shown that everyq-ary primitive … green valley theater hendersonWebb1 jan. 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 you need on ResearchGate fnf monkey lol modWebb30 mars 2024 · BCH codes over GF (q) with length qm+1. CoRR abs/2106.11607 ( 2024) [i5] Hongwei Zhu, Minjia Shi, Xiaoqiang Wang, Tor Helleseth: The $q$-ary antiprimitive BCH codes. CoRR abs/2109.13803 ( 2024) 2024 [j13] abs/1910.05461 ( 2024) [i1] Dabin Zheng, Qing Zhao, Xiaoqiang Wang: Several classes of two-weight and three-weight linear codes. fnf monika full week senpai editionWebb17 feb. 2024 · 【学术报告】 施敏加 教授：The q-ary antiprimitive BCH codes. 2024-11-19. 每页 14 记录 总共 390 记录 ; fnf monkey onlineWebbIt is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of … green valley supply edmonds wa