Alahmadi, Adel and Güneri, Cem and Özkaya, Buket and Shoaib, Hatoon and Sole, Patrick (2017) On self-dual double negacirculant codes. Discrete Applied Mathematics, 222 . pp. 205-212. ISSN 0166-218X (Print) 1872-6771 (Online)
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Official URL: http://dx.doi.org/10.1016/j.dam.2017.01.018
Abstract
Double negacirculant (DN) codes are the analogues in odd characteristic of double circulant codes. Self-dual DN codes are shown to have a transitive automorphism group. Exact counting formulae are derived for DN codes. The special class of length a power of two is studied by means of Dickson polynomials, and is shown to contain families of codes with relative distances satisfying a modified Varshamov-Gilbert bound. This gives an alternative, and effective proof of the result of Chepyzhov, that there are families of quasi twisted codes above Varshamov-Gilbert.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Quasi-twisted codes; Dickson polynomials; Varshamov-Gilbert bound |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Cem Güneri |
| Date Deposited: | 09 May 2017 14:58 |
| Last Modified: | 12 May 2017 11:53 |
| URI: | https://research.sabanciuniv.edu/id/eprint/31316 |
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