Binary codes and quasi-symmetric designs

Journal Article

We obtain a new necessary condition for the existence of a 2-(υ, k, λ) design where the block intersection sizes s1,s2,...,sn satisfy s1≡s2≡...≡sn≡s( mod 2). This condition eliminates quasi-symmetric 2-(20, 10, 18) and 2-(60, 30, 58) designs. Quasi-symmetric 2- (20, 8, 14) designs are eliminated by an ad hoc coding theoretic argument. © 1990.

Full Text

Duke Authors

Cited Authors

  • Calderbank, AR; Frankl, P

Published Date

  • August 1, 1990

Published In

Volume / Issue

  • 83 / 2-3

Start / End Page

  • 201 - 204

International Standard Serial Number (ISSN)

  • 0012-365X

Digital Object Identifier (DOI)

  • 10.1016/0012-365X(90)90005-3

Citation Source

  • Scopus