TY - JOUR
A1 - Kiermaier, Michael
A1 - Wassermann, Alfred
T1 - Double and bordered alpha-circulant self-dual codes over finite commutative chain rings
N2 - In this paper we investigate codes over finite commutative rings R, whose generator matrices are built from alpha-circulant matrices. For a non-trivial ideal I < R we give a method to lift such codes over R/I to codes over R, such that some isomorphic copies are avoided. For the case where I is the minimal ideal of a finite chain ring we refine this lifting method: We impose the additional restriction that lifting preserves self-duality. It will be shown that this can be achieved by solving a linear system of equations over a finite field. Finally we apply this technique to Z_4-linear double nega-circulant and bordered circulant self-dual codes. We determine the best minimum Lee distance of these codes up to length 64.
KW - Codierungstheorie
KW - self-dual code
KW - circulant matrix
KW - linear code over rings
KW - Lee metric
KW - finite chain ring
Y1 - 2008
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:703-opus-4501
UR - http://opus4.kobv.de/opus4-ubbayreuth/frontdoor/index/index/docId/395
ER -