Article
On Perfect Lee Codes
Discrete Mathematics
Publication Date
9-28-2009
Document Type
Article
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 Z. This provides additional support for the Golomb Welch conjecture as it settles the two smallest cases open so far.
DOI
10.1016/j.disc.2008.03.019
Publisher Policy
pre-print, post-print
Citation Information
Peter Horak. "On Perfect Lee Codes" Discrete Mathematics Vol. 309 Iss. 18 (2009) p. 5551 - 5561 Available at: http://works.bepress.com/peter_horak/2/