The q-ary antiprimitive bch codes
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 … Webb17 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 ;
The q-ary antiprimitive bch codes
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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. 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 …
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Webb12 aug. 2024 · Notably, the dimension, the minimum distance of some q-ary BCH codes with length q+1, and their duals are determined. The dual codes of the narrow-sense antiprimitive BCH codes... 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., …
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 …
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 … pearl harbor deaths by stateWebb30 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. pearl harbor deaths and injuriesWebbThis 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). pearl harbor deaths vs 911http://en.cim.nankai.edu.cn/info/1257/2324.htm pearl harbor deaths by shipWebbDetermining 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. lightweight cotton company t shirtWebb19 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). lightweight cotton dress shirtGiven 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 … lightweight cotton comforters for summer