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The q-ary antiprimitive bch codes

WebbBose-Chaudhuri-Hocquenghem (BCH) codes have been widely employed in satellite communications, compact disc players, DVDs, disk drives, solid-state drives, two … Webb19 sep. 2024 · This 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).

On Infinite Families of Narrow-Sense Antiprimitive BCH Codes …

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 … WebbThe q-Ary Antiprimitive BCH Codes - IEEE Xplore · It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes … brighton and hove albion football club news https://dreamsvacationtours.net

On Infinite Families of Narrow-Sense Antiprimitive BCH 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 … 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. 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 … can you get headaches on your period

(PDF) The $q$-ary antiprimitive BCH codes - ResearchGate

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

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The q-ary antiprimitive bch codes

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

WebbThe $q$-ary antiprimitive BCH codes Zhu, Hongwei ; Shi, Minjia ; Wang, Xiaoqiang ; Helleseth, Tor It is well-known that cyclic codes have efficient encoding and decoding … 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 …

The q-ary antiprimitive bch codes

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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 … 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 …

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. … http://www.cim.nankai.edu.cn/xsbg/list4.htm

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.... 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

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 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). can you get health insurance for child onlyGiven 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 … can you get health benefits working part timeWebb5 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 … brighton and hove albion football squadcan you get health insurance anytimeWebbBCH 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., … brighton and hove albion football club jobsWebb12 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... brighton and hove albion flagWebb21 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 … can you get health insurance if you are daca