$\Theta_S-$cyclic codes over $A_k$
Information Theory
2017-07-19 v1 Combinatorics
math.IT
Abstract
We study cyclic codes over the family of rings We characterize cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and we prove that if a code is cyclic then its Hermitian dual is also cyclic. Finally, we give constructions of cyclic codes.
Cite
@article{arxiv.1707.04681,
title = {$\Theta_S-$cyclic codes over $A_k$},
author = {Irwansyah and Aleams Barra and Steven T. Dougherty and Ahmad Muchlis and Intan Muchtadi-Alamsyah and Patrick Solé and Djoko Suprijanto and Olfa Yemen},
journal= {arXiv preprint arXiv:1707.04681},
year = {2017}
}
Comments
23 pages