Some minimal cyclic codes over finite fields
WebFinite Fields and Their Applications. Volume 63, March 2024, 101633. Asymptotically good Z p r Z p s-additive cyclic codes WebDec 31, 2024 · M. Bonini and M. Borello, Minimal linear codes arising from blocking sets, Journal of Algebraic Combinatorics, 2024, 1–15. doi: 10.1007/s10801-019-00930-6. [13] …
Some minimal cyclic codes over finite fields
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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 … WebJan 1, 2024 · $\begingroup$ It would be easier to give a helpful answer, if you explained what you know about cyclic codes and Reed-Solomon codes. $\endgroup$ – Jyrki …
WebApr 14, 2024 · Thanks to it, tables are provided showing that sum-rank BCH codes beat previously known codes for the finite field of size $ 2^2 = 4 $ for the sum-rank metric for matrices with $ m=2 $ rows and ... WebSOME RESULTS ON BCH CODES OF LENGTH q m+1 2 5 Example 1. Let q= 3, m= 5 and 0 ≤i≤121. ... C. Ding and S. Li,LCD cyclic codes over finite fieldsIEEE Trans. Inf. Theory, , 63 …
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. WebFlag codes that are orbits of a cyclic subgroup of the general linear group acting on flags of a vector space over a finite field, are called cyclic orbit flag codes. In this paper, we present a new contribution to the study of such codes, by focusing this time on the generating flag. More precisely, we examine those ones whose generating flag has at least one subfield …
WebJun 7, 2024 · Shortened Linear Codes Over Finite Fields. Abstract: The puncturing and shortening techniques are two important approaches to constructing new linear codes …
WebPolycyclic codes are the generalization of cyclic and constacyclic codes and were studied in (William, 1972) for ... we construct polycyclic codes over finite fields by using same … sonic colors final boss part 1WebApr 10, 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. small homes 1000 to 1200 sq ftWebKeywords – Coding theory, cyclic codes, decoding, ideal theory, Gröbner bases, characteristic sets. INTRODUCTION. One important objective in coding theory has always … small home repairs albany oregonWebApr 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 … sonic colors glitched up my wiisonic colors for wiiWebFeb 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 … sonic colors final boss themeWebApr 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. sonic colors ultimate ft sonic \u0026 tails stream