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Long quasi-polycyclic t-CIS codes

Alahmadi, Adel and Güneri, Cem and Shoaib, Hatoon and Sole, Patrick (2018) Long quasi-polycyclic t-CIS codes. Advances in Mathematics of Communications, 12 (1). pp. 189-198. ISSN 1930-5346 (Print) 1930-5338 (Online)

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Official URL: http://dx.doi.org/10.3934/amc.2018013

Abstract

We study complementary information set codes of length tn and dimension n of order t called (t-CIS code for short). Quasi-cyclic and quasitwisted t-CIS codes are enumerated by using their concatenated structure. Asymptotic existence results are derived for one-generator and have co-index n by Artin's conjecture for quasi cyclic and special case for quasi twisted. This shows that there are innite families of long QC and QT t-CIS codes with relative distance satisfying a modied Varshamov-Gilbert bound for rate 1=t codes. Similar results are dened for the new and more general class of quasi-polycyclic codes introduced recently by Berger and Amrani.

Item Type:Article
Uncontrolled Keywords:Quasi-cyclic codes (QC); quasi-twisted codes (QT); quasi-polycyclic codes (QPC); Varshamov-Gilbert bound
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
ID Code:35514
Deposited By:Cem Güneri
Deposited On:06 Aug 2018 12:43
Last Modified:06 Aug 2018 12:43

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