Author:
Dorbec Paul,Mollard Michel
Abstract
We introduce and study a common generalization of 1-error binary perfect codes and perfect single error correcting codes in Lee metric, namely perfect codes on products of paths of length 2 and of infinite length. Both existence and nonexistence results are given.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
4 articles.
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1. On perfect codes in Cartesian products of graphs;European Journal of Combinatorics;2011-04
2. Reflections about a Single Checksum;Arithmetic of Finite Fields;2010
3. Weighted perfect codes in Lee metric;Electronic Notes in Discrete Mathematics;2009-08
4. Weighted codes in Lee metrics;Designs, Codes and Cryptography;2009-02-27