Original scientific paper

On perfect 1-$\mathcal E$-error-correcting codes

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

Abstract

We generalize the concept of perfect Lee-error-correcting codes, and present constructions of this new class of perfect codes that are called perfect 1-$\mathcal{E}$-error-correcting codes. We also show that in some cases such codes contain quite a few perfect 1-error-correcting $q$-ary Hamming codes as subsets.

Keywords

Perfect codes

Hrčak ID:

140385

URI

https://hrcak.srce.hr/140385

Publication date:

1.7.2015.

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