The q-ary antiprimitive bch 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 … 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 …
The q-ary antiprimitive bch codes
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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 … 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 ...
Webb31 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 … 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 …
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. Webb21 aug. 2024 · 1 Answer. The q-ary Hamming code has n = q r − 1 q − 1 and k = q r − 1 q − 1 − r. The ambient space V ( n, q) has q n elements, and C = q k = q n − r. This implies …
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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 simpson lawrence windlass disassemblyWebbNotably, 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 … simpson-lawrence seatiger 555 windlassWebb28 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 … simpson lawrence seawolf 520 windlassWebbDOI: — access: open type: Informal or Other Publication metadata version: 2024-02-23 razer seiren mini not showing upWebbThis 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 … razer seiren mini price in bangladeshrazer seiren mini microfoon mercuryWebb28 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 … simpson lawrence sprint 1000 windlass