Some minimal cyclic codes over finite fields

WebSep 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 … WebMay 26, 2024 · Finally we construct a linear MSRD code over an arbitrary finite field ... \ldots, t-1$, for any given minimum sum-rank distance. There is no restriction on the block ... A sum-rank-metric code attaining the Singleton bound is constructed over some F q -linear MSRD code over some field F q with different matrix sizes n 1 > n 2 ...

On the Construction of Skew Quasi-Cyclic Codes^†

Webthe shortened (16, 8) code of this cyclic code has the minimum distance 5. There are also the very famous binary BCH code of (15, 7) with the minimum distance 5, and the Preparata non-linear (15, 8) code with the minimum distance 53). Moreover, by adding an overall parity bit to the Preparata non-linear (15, 8) code, a non- WebMar 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 ... list of tetracyclic antidepressant https://thehiredhand.org

A NOTE ON CYCLIC CODES OVER Fpm+uFpm+u2Fpm_参考网

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 … WebAn 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 … WebDue to interpreted critical soil conditions with regard to cyclic loading and cyclic soil stiffness & strength degradation based on cyclic laboratory testing of sand and clay soil … list of tetanus vaccines

On self‑dual cyclic codes over finite fields

Category:On some bounds on the minimum distance of cyclic codes over …

Tags:Some minimal cyclic codes over finite fields

Some minimal cyclic codes over finite fields

Asymptotically good ZprZps-additive cyclic codes - ScienceDirect

Webin 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 … Weblocal ring;cyclic codes;repeated-root codes;the number of codewords. 2010 MR Subject Classification:94B05;94B15. Document code:AArticle ID:0255-7797(2016)05 …

Some minimal cyclic codes over finite fields

Did you know?

WebSince every linear code is contained in an MDS linear code with the same minimum distance over some finite field extension, we focus our study on MDS linear codes. It is well-known that an MDS linear code with minimum distance 2 ℓ + 1 has an ℓ -error-correcting pair if and only if it is a generalized Reed-Solomon code. 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 …

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] … WebLet Fq be a finite field of odd order q and n=2ap1a1p2a2, where a,a1,a2 are positive integers, p1,p2 are distinct odd primes and 4p1p2 q1. In this paper, ... A class of minimal cyclic …

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 (2024), ... M. Shi, D. Huang, L. Sok and P. Sol´e,Double circulant LCD codes over Z 4, Finite Fields Appl., 58 (2024), 133-144. SOME RESULTS ON BCH CODES OF LENGTH q m+ ... 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 …

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 …

immigration in the 80sWebJan 1, 2024 · Download Citation On Jan 1, 2024, Jiayuan Zhang and others published Some results on BCH codes of length $ \frac{{{q^m} + 1}}{2} Find, read and cite all the research you need on ResearchGate list of texas beachesWebMinimal cyclic codes of length 2pn, Finite Fields Appl., 5(1999), 177-187. [1]], which considered the cases t= 1 and t= 2 respectively. We propose an approach di erent from … list of test optional schoolsWebthe shortened (16, 8) code of this cyclic code has the minimum distance 5. There are also the very famous binary BCH code of (15, 7) with the minimum distance 5, and the … immigration in the early 20th centuryWebApr 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 + … immigration in the nineteenth centuryWebApr 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 ... list of texas agenciesWebJan 2024 - Mar 20241 year 3 months. San Francisco Bay Area. - Tech Lead on SDV reaction time and system latency. - Work on autonomy system challenges in self driving vehicles. - … immigration in the mid 1800s