Some minimal cyclic codes over finite fields
WebRecently, A. Zeh, A. Wachter-Zeh, M. Gadouleau and S. Bezzateev gave a method to obtain new lower bounds on the minimum distance of cyclic codes over finite fields. Here we … WebFeb 14, 2024 · minimum distance of cyclic code. Ask Question Asked 1 month ago. Modified 30 days ago. ... finite-fields; it.information-theory; coding-theory; Share. Cite. Improve this …
Some minimal cyclic codes over finite fields
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WebFeb 1, 2015 · A class of minimal cyclic codes over finite fields @article{Chen2015ACO, title={A class of minimal cyclic codes over ... of the minimal cyclic codes of length 2pn … WebHow do you determine if an elliptic curve over a finite field is cyclic? Ask Question Asked 9 years, 11 months ago. Modified 7 years, ... Use the following code in Magma: F:=GF(11); E:=EllipticCurve([0,0,0,2*F.1,2*F.1]); ... Counting the Number of Points on …
WebIn this paper, let $ q $ be a power of a prime, we construct several classes of new projective three-weight or four-weight linear codes over $ \mathbb{F}_q $ from the defining sets construction, and determine their weight distributions by using additive character sums. Especially, these codes are suitable for applications in secret sharing schemes. WebApr 1, 2024 · Kai and Zhu [29] later proposed a method for generating quantum codes using cyclic codes of odd length over the finite chain ring F 4 + v F 4 with u 2 = 0. Further, Qian [18] has introduced a method for generating quantum error-correcting codes using cyclic codes over the finite non-chain ring F 2 + v F 2 with arbitrary length v 2 = v.
WebA Sequence Construction of Cyclic Codes over Finite Fields 3 2.1 Some notation and symbols fixed throughout this paper Throughout this paper, we adopt the following … WebA cyclic code has been one of the most active research topics in coding theory because they have many applications in data storage systems and communication systems. They have …
WebApr 14, 2024 · Hence the cyclic contraction potential grows if the material is dilating and decreases to a minimal value of zero in case of contraction. Including this contraction potential into Eq.
WebKeywords – Coding theory, cyclic codes, decoding, ideal theory, Gröbner bases, characteristic sets. INTRODUCTION. One important objective in coding theory has always … dallas hole in the wallWebin some cases, such codes can be decoded faster than other linear codes using nearest neighbor decoding. In [6], necessary and sufficient conditions for cyclic codes to be … dallas holm before your throneWebMar 2, 2016 · In this work, we construct cyclic polar codes based on a mixed-radix Cooley-Tukey decomposition of the Galois field Fourier transform. The programs developed for this work can be accessed at https ... birchley woodWebAn irreducible code is a cyclic code in which the code, as an ideal is irreducible, i.e. is minimal in , so that its check polynomial is an irreducible polynomial. Examples [ edit ] For … birch lifespanWebnonlinear binary codes are actually related to linear extended cyclic codes over the ring Z 4 [1]. Us-ing a spectral approach and a generalization of the results of [2], Dougherty and … dallas holiday at the arboretumWebSep 1, 2014 · 2014_Some minimal cyclic codes over finite fields.pdf. Content uploaded by Guanghui Zhang. Author content. All content in this area was uploaded by Guanghui … dallas holistic chamber of commerceWeblocal ring；cyclic codes；repeated-root codes；the number of codewords. 2010 MR Subject Classification：94B05；94B15. Document code：AArticle ID：0255-7797（2016）05 … dallas holm and praise