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Constructing two-weight codes with prescribed groups of automorphisms

Titelangaben

Kohnert, Axel:
Constructing two-weight codes with prescribed groups of automorphisms.
In: Discrete Applied Mathematics. Bd. 155 (1 Juni 2007) Heft 11 . - S. 1451-1457.
ISSN 0166-218x
DOI: 10.1016/j.dam.2007.03.006

Abstract

We construct new linear two-weight codes over the finite field with q elements. To do so we solve the equivalent problem of finding point sets in the projective geometry with certain intersection properties. These point sets are in bijection to solutions of a Diophantine linear system of equations. To reduce the size of the system of equations we restrict the search for solutions to solutions with special symmetries.

Two-weight codes can be used to define strongly regular graphs. We give tables of the two-weight codes and the corresponding strongly regular graphs. In some cases we find new distance-optimal two-weight codes and also new strongly regular graphs.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: Finite projective geometry; Two-weight codes; Strongly regular graphs
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik II (Computeralgebra)
Fakultäten
Fakultäten > Fakultät für Mathematik, Physik und Informatik
Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Eingestellt am: 22 Jan 2015 14:58
Letzte Änderung: 22 Jan 2015 14:58
URI: https://eref.uni-bayreuth.de/id/eprint/5796