Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87003
Type: Artigo de periódico
Title: Linear Codes On Posets With Extension Property
Author: Barg A.
Felix L.V.
Firer M.
Spreafico M.V.P.
Abstract: We investigate linear and additive codes in partially ordered Hamming-like spaces that satisfy the extension property, meaning that automorphisms of ideals extend to automorphisms of the poset. The codes are naturally described in terms of translation association schemes that originate from the groups of linear isometries of the space. We address questions of duality and invariants of codes, establishing a connection between the dual association scheme and the scheme defined on the dual poset (they are isomorphic if and only if the poset is self-dual). We further discuss invariants that play the role of weight enumerators of codes in the poset case. In the case of regular rooted trees such invariants are linked to the classical problem of tree isomorphism. We also study the question of whether these invariants are preserved under standard operations on posets such as the ordinal sum and the like. © 2013 Published by Elsevier B.V.
Editor: 
Rights: fechado
Identifier DOI: 10.1016/j.disc.2013.11.001
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84888341817&partnerID=40&md5=4098fb3f134314893039c93dfa461ada
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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