Title

Quasi-symmetric 2-(64, 24, 46) designsderivedfrom AG(3, 4)

Authors

Dean Crnkovic, University of Rijeka
B. G. Rodrigues, University of KwaZulu-Natal
Sanja Rukavina, University of Rijeka
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

10-2017

Abstract

This paper completes the enumeration of quasi-symmetric 2-(64,24,46) designs sup-ported by the dual code C^⊥ of the binary linear code C spanned by the lines of AG(3,4), initiated in Rodrigues and Tonchev (2015). It is shown that C^⊥ supports exactly 30,264 nonisomorphic quasi-symmetric 2-(64,24,46) designs.The automorphism groups of the related strongly regular graphs are computed.

Publisher's Statement

© 2017 Elsevier B.V. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.disc.2017.06.008

Publication Title

Discrete Mathematics

Recommended Citation

Crnkovic, D., Rodrigues, B. G., Rukavina, S., & Tonchev, V. (2017). Quasi-symmetric 2-(64, 24, 46) designsderivedfrom AG(3, 4). Discrete Mathematics, 340(10), 2472-2478. http://doi.org/10.1016/j.disc.2017.06.008
Retrieved from: https://digitalcommons.mtu.edu/math-fp/79