Characterizing the Hermitian and Ree Unitals on 28 Points

Authors:
Gary Mcguire;Vladimir D. Tonchev;Harold N. Ward
Affiliations:
Department of Mathematics, Colorado State University, Fort Collins, CO, 80523, USA;Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, USA;Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA
Venue:
Designs, Codes and Cryptography
Year:
1998

Citing 3
Cited 1

On symmetric and quasi-symmetric designs with the symmetric difference property and their codes

Journal of Combinatorial Theory Series A
Designs and their codes

Designs and their codes
Quasi-symmetric designs and codes meeting the Grey-Rankin bound

Journal of Combinatorial Theory Series A

Unitals and codes

Discrete Mathematics - Special issue: Combinatorics 2000

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Abstract

We prove a conjecture of Brouwer, namely that a2-(28,4,1) design has 2–rank at least 19, with equalityoccuring if and only if the design is the Ree unital. We give a similarcharacterization of the Hermitian unital.