On self-dual cyclic codes over finite fields

Web1 de jan. de 2024 · Employing a duality-preserving Gray map, self-dual and LCD codes of length 4n over F q are constructed. ... Güneri C Özkaya B Solé P Quasi-cyclic complementary dual codes Finite Fields Their Appl. 2016 42 67 80 3550383 10.1016/j.ffa.2016.07.005 Google Scholar Digital Library; 8. Web(a subset of) the defining set of the cyclic code (3) For now, only single-root cyclic codes are implemented. That is, only cyclic codes such that its length \(n\) and field order \(q\) are coprimes. Depending on which behaviour you want, you need to specify the names of the arguments to CyclicCode. See EXAMPLES section below for details. INPUT:

On LCD, self dual and isodual cyclic codes over finite chain rings ...

Web25 de mai. de 2012 · It is also proven that a self-dual code over a finite chain ring cannot be the lift of a binary cyclic self-dual code. The number of cyclic self-dual codes over … Web30 de abr. de 2024 · For any odd prime p, the structures and duals of λ -constacyclic codes of length 8 p s over R = F p m + u F p m are completely determined for all unit λ of the form λ = ξ l ∈ F p m, where l is even. In addition, the algebraic structures of all cyclic and negacyclic codes of length 8 p s over R are established in term of their generator … open wounds on horses https://unitybath.com

New MDS Self-dual Codes over Finite Fields of Odd Characteristic

http://match.stanford.edu/reference/coding/sage/coding/cyclic_code.html WebLet be a cyclic code of length =C over the binary eld F2.Put"() = 6+3+1.enwehave @() = 3 1.Wecanseethat has dimension and generating matrix is given by % ß D 100100100 010010010 001001001 E. ( ) Hence, a parity-check matrix for is given by B ß & ' ' ' ' * 100100000 010010000 001001000 000100100 000010010 000001001 - 5 5 5 5 7 . Web10 de abr. de 2024 · Over finite fields, cyclic codes have been extensively investigated (see, for example, [2,3,4,5] and references therein). In 2015, from the cyclic codes over F q + v F q + v 2 F q + v 3 F q (where q = p m, p is a prime such that 3 (p − 1), v 4 = v, and m is a positive integer), Gao et al. constructed new quantum codes over F q. open wps file in google docs

Enumeration of Self-Dual Cyclic Codes of some Specific Lengths …

Category:Constacyclic codes of length $ 8p^s $ over $ \mathbb F_{p^m}

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On self-dual cyclic codes over finite fields

Review Article Skew Constacyclic Codes over Finite Fields and Finite …

WebOn Self-Dual Cyclic Codes over Finite Fields Yan Jia, San Ling, Chaoping Xing Abstract In coding theory, self-dual codes and cyclic codes are important classes of codes … Web19 de jul. de 2013 · On self-dual constacyclic codes over finite fields. This paper is devoted to the study of self-dual codes arising from constacyclic codes. Necessary and …

On self-dual cyclic codes over finite fields

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WebSELF-DUAL SKEW-CYCLIC CODES OVER FINITE FIELDS IRWANSYAH, INTAN MUCHTADI-ALAMSYAH, AHMAD MUCHLIS, ALEAMS BARRA, AND DJOKO SUPRIJANTO Abstract. In this paper, we give the enumeration formulas for Euclidean self-dual skew-cyclic codes over finite fields when (n, θ ) = 1 and for some cases Web14 de mar. de 2011 · Abstract: In coding theory, self-dual codes and cyclic codes are important classes of codes which have been extensively studied. The main objects of study in this paper are self-dual cyclic codes over finite fields, i.e., the intersection of these …

Web1 de mar. de 2024 · Let 픽q be finite field with q elements, where q be power of an odd prime p. In this paper, we determine generator polynomials of all cyclic and negacyclic codes of length 8ℓmpn over 픽q, ... On self-dual cyclic codes over finite fields, IEEE Trans. Inf. Theory 57(4) (2011) 2243–2251. Web29 de jan. de 2012 · There is a one-to-one correspondence between -quasi-cyclic codes over a finite field and linear codes over a ring . Using this correspondence, we prove that every -quasi-cyclic self-dual code of length over a finite field can be obtained by the {\it building-up} construction, provided that char or , is a prime , and is a primitive element of .

Web31 de jan. de 2024 · Our goal of this paper is to find a construction of all ℓ-quasi-cyclic self-dual codes over a finite field Fq of length mℓ for every positive even integer ℓ. In this … Web15 de abr. de 2024 · Cyclic code is one important type of codes. This type of codes over finite field Fq can be considered as ideals in quotient ring Fq[x] xn−1 , where n is the length of codes. Based on this point of view, we can determine generator of any cyclic code, its Euclidean dual, and its dimension. Moreover, in some cases, we can also design the …

WebIn coding theory, self-dual codes and cyclic codes are important classes of codes which have been extensively studied. The main objects of study in this paper are self-dual …

Web15 de jun. de 2014 · Self-dual and complementary dual cyclic/abelian codes over finite fields form important classes of linear codes that have been extensively studied ... {\rm GR}(p^r,s)[G]$ are established. The analogous results for self-dual and complementary dual cyclic codes over Galois rings are therefore obtained as corollaries. Comments: 22 ... openwrt adblock設定Web31 de mar. de 2024 · In this paper, we study constacyclic codes of length 6 l p s over finite field F q. The generator polynomials of all constacyclic codes and their duals are obtained. Moreover, we give the characterization and enumeration of linear complementary dual (LCD) and self-dual constacyclic codes of length 6 l p s over F q. Keywords: open writing softwareWebexistence of cyclic self-dual codes of length 2rm over F 2s were studied independently by Kai and Zhu [10] and Jia et al. [11]. Jia et al. also determined the existence and the … iperf on windows 10Web22 de fev. de 2024 · LCD Cyclic Codes Over Finite Fields. Abstract: In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual (LCD) codes-a class of linear codes-have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in … iperform csod.comWeb1 de set. de 2024 · Since MDS self-dual codes over finite field of even characteristic with any possible parameter have been found in .In this paper, we obtain some new results … iperf online serverWeb1 de fev. de 2015 · Necessary and sufficient conditions are given for the existence of Hermitian self-dual constacyclic codes over ... Xing C.: On self-dual cyclic codes … iperf on macWebexistence of cyclic self-dual codes of length 2rm over F 2s were studied independently by Kai and Zhu [10] and Jia et al. [11]. Jia et al. also determined the existence and the number of cyclic self-dual codes forq =2m. In this paper, we investigate repeated root cyclic and nega-cyclic codes of length prm over Fps with (m,p)=1. When open write read close