Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs

Akihiro Munemasa, Vladimir D. Tonchev

研究成果: Article査読

抄録

The dual codes of the ternary linear codes of the residual designs of biplanes on 56 points are used to prove the nonexistence of quasisymmetric 2- (Formula presented.) and 2- (Formula presented.) designs with intersection numbers 0 and 3, and the nonexistence of a 2- (Formula presented.) quasi-3 design. The nonexistence of a 2- (Formula presented.) quasi-3 design is also proved.

本文言語English
ページ(範囲)745-752
ページ数8
ジャーナルJournal of Combinatorial Designs
28
10
DOI
出版ステータスPublished - 2020 10 1

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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