Published October 2006 | Version 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

Identifiers

Eprint ID
101966
Resolver ID
CaltechAUTHORS:20200318-100513825

Dates

Created
2020-03-18
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Updated
2021-11-16
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