The q-ary antiprimitive bch codes

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August undefined, 2024

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 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 …

A question in " Decoding with a q-ary hamming code"

WebbThis 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). WebbThis 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 … images of tea party invitations

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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 … 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 … WebbDOI: — access: open type: Informal or Other Publication metadata version: 2024-02-23 images of tears flowing

The q-Ary Antiprimitive BCH Codes IEEE Journals & Magazine

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 … 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 … list of business contactsWebbThe 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 … list of business consulting firms

"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.... " - The q-ary antiprimitive bch codes

The q-ary antiprimitive bch codes

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 … 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 …

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

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 …

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 … 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).

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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 … images of tea plantsWebb31 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. images of tee higginsWebbThe 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 … list of business deductions 2019WebbENCODING AND DECODING OF BCH CODES USING LIGHT AND SHORT CODEWORDS RON M. ROTH * AND GADIEL SEROUSSI ** ABSTRACT It is shown that everyq-ary primitive … list of businesses by postcodeWebbDetermining 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 … list of business continuity risksWebbArticle “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 … images of technology symbolsWebb12 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... images of teenage boys