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Translation association schemes, poset metrics, and the shape enumerator of codes

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2 Author(s)
Alexander Barg ; Department of ECE and Institute for Systems Research, University of Maryland, College Park, 20742, USA ; Marcelo Firer

Poset metrics form a generalization of the Hamming metric on the space Fnq. Orbits of the group of linear isometries of the space give rise to a translation association scheme. The structure of the dual scheme is important in studying duality of linear codes; this study is facilitated if the scheme is self-dual. We study the relation between self-duality of the scheme and that of the poset. We also give new examples of poset metric spaces and describe the association schemes that arise from linear isometries.

Published in:

Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on

Date of Conference:

1-6 July 2012