Codes over Hurwitz integers
Information Theory
2014-10-21 v1 math.IT
Abstract
In this study, we obtain new classes of linear codes over Hurwitz integers equipped with a new metric. We refer to the metric as Hurwitz metric. The codes with respect to Hurwitz metric use in coded modu- lation schemes based on quadrature amplitude modulation (QAM)-type constellations, for which neither Hamming metric nor Lee metric. Also, we define decoding algorithms for these codes when up to two coordinates of a transmitted code vector are effected by error of arbitrary Hurwitz weight.
Keywords
Cite
@article{arxiv.1201.3316,
title = {Codes over Hurwitz integers},
author = {Murat Güzeltepe},
journal= {arXiv preprint arXiv:1201.3316},
year = {2014}
}
Comments
11 pages