The q-ary antiprimitive bch codes

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August undefined, 2024

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 … 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 that have interesting practical recent applications in cryptography, among other benefits).

Prof.Minjia Shi：The q-ary antiprimitive BCH codes-CIM

Webb28 sep. 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 … Webb19 dec. 2024 · Dimensions of nonbinary antiprimitive BCH codes and some conjectures. 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. In this paper, let be a prime power, the dimension of a family of non-primitive BCH codes of … dfars international agreement

dblp: The $q$-ary antiprimitive BCH codes.

Webb学术范收录的Repository The $q$-ary antiprimitive BCH codes，目前已有全文资源，进入学术范阅读全文，查看参考文献与引证文献，参与 ... WebbIt 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 th 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). church\\u0027s monk strap

$Some results on BCH codes of length $ \frac{{{q^m} + 1}}{2}$

BCH Codes with Minimum Distance Proportional to Code Length

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 … Webb1 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 church\u0027s monk shoesWebbDetermining 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 few largest coset leaders of such BCH codes are obtained. On the basis of this, we determine their parameters and obtain a few optimal or almost optimal codes. church\\u0027s monk

"Webb30 mars 2024 · The q-Ary Antiprimitive BCH Codes. IEEE Trans. Inf. Theory 68 (3): 1683-1695 (2024) [c1] view. electronic edition via DOI; unpaywalled version; ... BCH codes over … " - The q-ary antiprimitive bch codes

The q-ary antiprimitive bch codes

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 … Webb21 dec. 2024 · After deriving the cardinalities of the coset leaders, we shall calculate exact dimensions of many antiprimitive LCD BCH codes. PDF Abstract. Code Edit Add Remove …

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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 … WebbProf.Minjia Shi：The q-ary antiprimitive BCH codes. 2024-11-24 09:18. Time: 16:00 November 22, 2024. Place: Room 216, Shiing-Shen Building & Tencent Conference …

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., … 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 …

WebbBCH codes are among the best practical cyclic codes widely used in consumer electronics, communication systems, and storage devices. However, not much is known about BCH codes with large minimum di... Webb30 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.

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 …

Webb5 juli 2024 · The objective of this paper is to study negacyclic BCH codes with length q^m-1/2 and q^m+1/2 over the finite field (q) and analyse their parameters. The negacyclic … dfars limitation of government\u0027s obligationWebbThe $q$-ary antiprimitive BCH codes Zhu, Hongwei ; Shi, Minjia ; Wang, Xiaoqiang ; Helleseth, Tor It is well-known that cyclic codes have efficient encoding and decoding … church\u0027s monk strap shoesWebb19 nov. 2024 · 报告题目：The q-ary antiprimitive BCH codes. 报告人：施敏加（安徽大学）报告时间：2024年11月24日下午16:30-17:30. 摘要：It is well-known that cyclic codes … church\\u0027s monk strap shoesWebb17 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 ; church\\u0027s national digital platforms\\u0027 strategyWebb31 jan. 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 … dfars material clauseWebb19 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.... church\\u0027s monmouthhttp://en.cim.nankai.edu.cn/info/1257/2324.htm dfar short of award memorandum