Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs
Department of Mathematical Sciences
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.
Journal of Combinatorial Designs
Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs.
Journal of Combinatorial Designs,
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© 2020 Wiley Periodicals LLC. Publisher’s version of record: https://doi.org/10.1002/jcd.21740