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The q-ary 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 … Webb21 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 …

ENCODING AND DECODING OF BCH CODES USING LIGHT AND …

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 antiprimitive BCH codes are given. The BCH codes presented in this paper have good … Webb19 dec. 2024 · Dimensions of nonbinary antiprimitive BCH codes and some conjectures. Bose-Chaudhuri-Hocquenghem (BCH) codes have been intensively investigated. Even so, there is only a little known about primitive BCH codes, let alone non-primitive ones. In this paper, let be a prime power, the dimension of a family of non-primitive BCH codes of … how to screenshot with hp envy https://guineenouvelles.com

Binary BCH code — Error Correction Zoo

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. … 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 … 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. how to screenshot with gyazo shortcut

Binary BCH code — Error Correction Zoo

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

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The q-ary antiprimitive bch codes

The q-Ary Antiprimitive BCH Codes IEEE Journals & Magazine

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 … 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

The q-ary antiprimitive bch codes

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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 … 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 …

WebbProf.Minjia Shi：The q-ary antiprimitive BCH codes. 2024-11-24 09:18. Time: 16:00 November 22, 2024. Place: Room 216, Shiing-Shen Building & Tencent Conference …

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 … 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 ;

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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... how to screenshot with microsoft edgeWebbIt 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 … how to screenshot with lenovo thinkpadWebb4 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 ... how to screenshot with microsoft penWebbThis 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). how to screenshot with logitechWebbThe 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 … how to screenshot without black screenWebbDetermining 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. how to screenshot with motorola g5WebbBCH 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., … how to screen shot with macbook pro