Codes over Hurwitz integers
arXiv:1201.3316 · doi:10.1016/j.disc.2012.10.020
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.
11 pages
Cited by in corpus (6)
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- Some properties of the norm in a quaternion division algebra
- About some properties of algebras obtained by the Cayley-Dickson process