Exponential numbers of two-weight codes, difference sets and symmetric designs
type: Item
instance of: scholarly article
title: Exponential numbers of two-weight codes, difference sets and symmetric designs
zbMATH Open document ID: 0568.05010
DOI: 10.1016/0012-365X(83)90276-5
author: William M. Kantor
published in: Discrete Mathematics
publication date: 1983-01-01T00:00:00Z
review text: Subsets of the set of 1-spaces of a 2-dimensional vector space over \(GF(q^ n)\) are used to define projective two-weight codes, and in the case of \(q=2\), difference sets and symmetric designs. Exponential lower bounds on the corresponding number of such nonisomorphic linear codes, difference sets and symmetric designs are obtained.
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 3906505
zbMATH Keywords: nonisomorphic linear codes
zbMATH Keywords: difference sets
zbMATH Keywords: symmetric designs
MaRDI profile type: Publication
cites work: The Geometry of Two-Weight Codes
cites work: Q5545191
cites work: Q4115154
cites work: Symplectic groups, symmetric designs, and line ovals
cites work: On the inequivalence of generalized Preparata codes
cites work: On ``bent'' functions
full work available at URL: 0012-365x(83)90276-5
OpenAlex ID: W2005982700
description: scientific article; zbMATH DE number 3906505