Two-Weight Codes, Partial Geometries and Steiner Systems

Authors:
Frank De Clerck;Mario Delanote
Affiliations:
Ghent University—Department of Pure Mathematics and Computer Algebra;Ghent University—Department of Pure Mathematics and Computer Algebra
Venue:
Designs, Codes and Cryptography
Year:
2000

Citing 0
Cited 4

Partial and semipartial geometries: an update

Discrete Mathematics - Special issue: Combinatorics 2000
Constructing two-weight codes with prescribed groups of automorphisms

Discrete Applied Mathematics
Further results on support weights of certain subcodes

Designs, Codes and Cryptography
On a kind of two-weight code

European Journal of Combinatorics

Quantified Score

Hi-index	0.00

Visualization

Abstract

Two-weight codes and projectivesets having two intersection sizes with hyperplanes are equivalentobjects and they define strongly regular graphs. We constructprojective sets in \PG(2m-1,q) that have the sameintersection numbers with hyperplanes as the hyperbolic quadric\Q^{+}(2m-1,q). We investigate these sets; we provethat if q=2 the corresponding strongly regular graphsare switching equivalent and that they contain subconstituentsthat are point graphs of partial geometries. If m=4the partial geometries have parameters s=7, t=8,\alpha = 4 and some of them are embeddable in Steinersystems \S(2,8,120).