Title data
Kiermaier, Michael ; Wassermann, Alfred:
Double and bordered alpha-circulant self-dual codes over finite commutative chain rings.
2008
Event: Eleventh International Workshop on Algebraic and Combinatorial Coding Theory (ACCT-2008)
.
(Conference item: Workshop
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Paper
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Abstract
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.
Further data
Item Type: | Conference item (Paper) |
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Additional notes (visible to public): | msc: 11T71; Source: Proceedings of the Eleventh International Workshop on Algebraic and Combinatorial Coding Theory (ACCT-2008) |
Keywords: | Codierungstheorie; self-dual code; circulant matrix; linear code over rings; Lee metric; finite chain ring |
DDC Subjects: | 500 Science > 510 Mathematics |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-opus-4501 |
Date Deposited: | 25 Apr 2014 10:50 |
Last Modified: | 02 May 2014 10:35 |
URI: | https://epub.uni-bayreuth.de/id/eprint/604 |