Article ID Journal Published Year Pages File Type
4649452 Discrete Mathematics 2009 11 Pages PDF
Abstract

In this paper we survey recent results on the Golomb–Welch conjecture and its generalizations and variations. We also show that there are no perfect 2-error correcting Lee codes of block length 5 and 6 over ZZ. This provides additional support for the Golomb Welch conjecture as it settles the two smallest cases open so far.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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