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

Authors

Akihiro Munemasa, Tohoku University
Vladimir D. Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

10-1-2020

Department

Department of Mathematical Sciences

Abstract

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.

Publisher's Statement

© 2020 Wiley Periodicals LLC. Publisher’s version of record: https://doi.org/10.1002/jcd.21740

Publication Title

Journal of Combinatorial Designs

Recommended Citation

Munemasa, A., & Tonchev, V. (2020). Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs. Journal of Combinatorial Designs, 28(10), 745-752. http://doi.org/10.1002/jcd.21740
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/2643