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Construction of binary and ternary self-orthogonal linear codes

Title data

Kohnert, Axel ; Wassermann, Alfred:
Construction of binary and ternary self-orthogonal linear codes.
In: Discrete Applied Mathematics. Vol. 157 (6 May 2009) Issue 9 . - pp. 2118-2123.
ISSN 0166-218X
DOI: https://doi.org/10.1016/j.dam.2007.10.030

Abstract in another language

We construct new binary and ternary self-orthogonal linear codes. In order to do this we use an equivalence between the
existence of a self-orthogonal linear code with a prescribed minimum distance and the existence of a solution of a certain system of Diophantine linear equations. To reduce the size of the system of equations we restrict the search for solutions to solutions with special symmetry given by matrix groups. Using this method we found at least six new distance-optimal codes, which are all self-orthogonal.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Self-orthogonal linear code; Incidence matrix; Group of automorphisms; Lattice point enumeration
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 22 Jan 2015 08:00
Last Modified: 27 Jan 2015 13:10
URI: https://eref.uni-bayreuth.de/id/eprint/5790