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 …
The q-ary antiprimitive bch codes
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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). 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 …
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 ; 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 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.
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). 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 …
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 …
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 … candy richardz facebookWebbENCODING AND DECODING OF BCH CODES USING LIGHT AND SHORT CODEWORDS RON M. ROTH * AND GADIEL SEROUSSI ** ABSTRACT It is shown that everyq-ary primitive … candy researchWebb28 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 … candy retrospectiveWebb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 ... fish with lowest sodium contentWebb3 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 fish with lunate tailsWebbBCH 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., … fish with lowest purine contentWebbThe 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 … candy riccobono twitter