Perfect 1-error-correcting Hurwitz weight codes

Murat Güzeltepe; Alev Altınel

Vol. 22 No. 2 (2017)

Regular Articles

Perfect 1-error-correcting Hurwitz weight codes

Published 2017-04-06

Murat Güzeltepe
Alev Altınel

Murat Güzeltepe
Sakarya University, Department of Mathematics

Alev Altınel

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Abstract

Let $\pi$ be a Hurwitz prime and $p = \pi \pi ^\star$. In this paper, we construct perfect 1-error-correcting codes in $\cal{H}_{\pi}^n$ for every prime number $p > 3$, where $\cal{H}$ denotes the set of Hurwitz integers.

Keywords

Block codes, Hurwitz distance, perfect code

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