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arXiv · 1703.00500

Infinity-Norm Permutation Covering Codes from Cyclic Groups

Ronen Karni·Moshe Schwartz
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Abstract

We study covering codes of permutations with the $\ell_\infty$-metric. We provide a general code construction, which uses smaller building-block codes. We study cyclic transitive groups as building blocks, determining their exact covering radius, and showing linear-time algorithms for finding a covering codeword. We also bound the covering radius of relabeled cyclic transitive groups under conjugation.

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Ronen Karni, Moshe Schwartz. 2017-03-01. Infinity-Norm Permutation Covering Codes from Cyclic Groups. https://arxiv.org/abs/1703.00500

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