Title

Characterizing the Hermitian and Ree unitals on 28 points

Authors

Gary McGuire, Colorado State University - Fort Collins
Vladimir Tonchev, Michigan Technological UniversityFollow
Harold Ward, University of Virginia

Document Type

Article

Publication Date

1-1998

Abstract

We prove a conjecture of Brouwer, namely that a 2-(28,4,1) design has 2–rank at least 19, with equality occuring if and only if the design is the Ree unital. We give a similar characterization of the Hermitian unital.

Publisher's Statement

© Kluwer Academic Publishers 1998. Publisher’s version of record: https://doi.org/10.1023/A:1008246022572

Publication Title

Designs, Codes and Cryptography

Recommended Citation

McGuire, G., Tonchev, V., & Ward, H. (1998). Characterizing the Hermitian and Ree unitals on 28 points. Designs, Codes and Cryptography, 13(1), 57-61. http://doi.org/10.1023/A:1008246022572
Retrieved from: https://digitalcommons.mtu.edu/math-fp/145