The q-ary antiprimitive bch codes
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 … 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 …
The q-ary antiprimitive bch codes
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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 …
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. … 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 · 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.... 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).
Webb3 juni 2024 · be characterized by the cyclotomic cosets. Let j[i] = fiqz mod njz 2Zgdenote the q-ary cyclotomic coset of i modulo n. Definition 2. A BCH code C over Fq with length n and designed distance d is a cyclic code. The defining set is denoted by Z = b+d 2 U i=b j[i]. If n = qm0 1, it is called a primitive BCH code. If
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 ; inbound operations managerWebbDetermining 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 … inbound operations in warehouseWebbThis 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 … inbound open innovation and firm performanceWebbIt 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 … inbound operations team leaderGiven 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 … in and out ogontz aveWebb21 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 … inbound operations team leader salaryWebb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 ... in and out of traffic