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
Hrčak ID:
140385
URI
Publication date:
1.7.2015.
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