Binary Images of Z2Z4-Additive Cyclic Codes
Information Theory
2017-07-12 v1 math.IT
Abstract
A Z2Z4-additive code C is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z_2 and the set of Z_4 coordinates, such that any cyclic shift of the coordinates of both subsets leaves the code invariant. We study the binary images of Z2Z4-additive cyclic codes. We determine all Z2Z4-additive cyclic codes with odd beta whose Gray images are linear binary codes.
Cite
@article{arxiv.1707.03214,
title = {Binary Images of Z2Z4-Additive Cyclic Codes},
author = {J. Borges and S. T. Dougherty and C. Fernández-Córdoba and R. Ten-Valls},
journal= {arXiv preprint arXiv:1707.03214},
year = {2017}
}