On self-dual double negacirculant codes

Date

2017-05-01

Author

Alahmadi, Adel
Guneri, Cern
Özkaya, Buket
Shoaib, Hatoon
Sole, Patrick

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

49
views

0
downloads

Cite This

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. (C) 2017 Elsevier B.V. All rights reserved.

Subject Keywords

Quasi-twisted codes, Dickson polynomials, Varshamov-Gilbert bound, CIRCULANT

URI

https://hdl.handle.net/11511/103358

Collections

Graduate School of Applied Mathematics, Article