Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Double and bordered alpha-circulant self-dual codes over finite commutative chain rings

URN to cite this document: urn:nbn:de:bvb:703-opus-4501

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 , Paper )

[img] PDF
Kiermaier_Wassermann.pdf - Published Version
Available under License Creative Commons BY 3.0: Attribution .

Download (165kB)

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)
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

Downloads

Downloads per month over past year