The q-ary antiprimitive bch codes
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. 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 …
The q-ary antiprimitive bch codes
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WebbArticle “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 … 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 …
Webb19 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 … http://www.cim.nankai.edu.cn/xsbg/list4.htm
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 Webb28 sep. 2024 · The q-ary antiprimitive BCH codes Optimal bounds on codes for location in circulant graphs. Ville Junnila, et al. Some binary BCH codes with length n=2^m+1. …
WebbIn this paper, we will employ the defining set of the code C to present a general characterization when its hull has dimension k − ℓ. Furthermore, we mainly focus on the …
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 … importance of inservice education for nursesWebb28 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 … literal or figurative languageWebbThe $q$-ary antiprimitive BCH codes Zhu, Hongwei ; Shi, Minjia ; Wang, Xiaoqiang ; Helleseth, Tor It is well-known that cyclic codes have efficient encoding and decoding … importance of inspiring others in leadershipWebb30 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 … importance of inservice trainingimportance of instructional deliveryWebb28 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 … literal or figurative meaningGiven 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 … importance of inservice education in nursing