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Published October 2006 | public
Journal Article

A random construction for permutation codes and the covering radius

Abstract

We analyse a probabilistic argument that gives a semi-random construction for a permutation code on n symbols with distance n − s and size Θ(s!(log n)^(1/2)), and a bound on the covering radius for sets of permutations in terms of a certain frequency parameter.

Additional Information

© 2006 Springer+Business Media, LLC. Received 27 January 2006; Revised 08 April 2006; Accepted 02 May 2006. We would like to thank the anonymous referees for their comments that helped us make several improvements to this paper.

Additional details

Created:
August 22, 2023
Modified:
October 19, 2023