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 |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Cem Güneri |
| Date Deposited: | 06 Aug 2018 12:43 |
| Last Modified: | 27 May 2023 16:23 |
| URI: | https://research.sabanciuniv.edu/id/eprint/35514 |
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Long quasi-polycyclic t-CIS codes. (deposited 04 Aug 2017 14:36)
- Long quasi-polycyclic t-CIS codes. (deposited 06 Aug 2018 12:43) [Currently Displayed]
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