Original scientific paper

Perfect 1-error-correcting Hurwitz weight codes

Murat Güzeltepe ; Department of Mathematics, Sakarya University, Sakarya, Turkey
Alev Altınel ; Department of Mathematics, Sakarya University, Sakarya, Turkey

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

Hrčak ID:

185987

URI

https://hrcak.srce.hr/185987

Publication date:

4.12.2017.

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