Original scientific paper

Perfect 1-error-correcting Lipschitz weight codes

Olof Heden ; Department of Mathematics, Stockholm, Sweden
Murat Güzeltepe ; Department of Mathematics, Sakarya Universit, Sakarya, Turkey

Abstract

Let $\pi$ be a Lipschitz prime and $p=\pi\pi^\star$. Perfect 1-error-correcting codes in $H(\mathbb{Z})_\pi^n$ are constructed for every prime number $p\equiv1(\bmod\;4)$. This completes a result of the authors in an earlier work, \emph{Perfect Mannheim, Lipschitz and Hurwitz weight codes}, (Mathematical Communications, Vol 19, No 2, pp. 253 -- 276 (2014)), where a construction is given in the case $p\equiv3\,(\bmod\;4)$.

Keywords

perfect codes

Hrčak ID:

157696

URI

https://hrcak.srce.hr/157696

Publication date:

16.5.2016.

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