TY - JOUR
T1 - A construction of the sporadic Suzuki graph from $U_3 (4)$
AU - Brouwer, A.E.
AU - Horiguchi, N.
AU - Kitazume, M.
AU - Nakasora, H.
PY - 2009
Y1 - 2009
N2 - In this paper, we consider the maximum coclique design of the sporadic Suzuki graph. Then we obtain the 3-(66, 16, 21) design with the automorphism group U3 (4) : 4. We construct this design as an extension of a 2-design which is described by the 2-transitive action of U3 (4) on the 65 isotropic points of the 3-dimensional unitary space over F16. Further, by using this design, we give a new construction of the sporadic Suzuki graph. © 2009 Elsevier Inc. All rights reserved.
AB - In this paper, we consider the maximum coclique design of the sporadic Suzuki graph. Then we obtain the 3-(66, 16, 21) design with the automorphism group U3 (4) : 4. We construct this design as an extension of a 2-design which is described by the 2-transitive action of U3 (4) on the 65 isotropic points of the 3-dimensional unitary space over F16. Further, by using this design, we give a new construction of the sporadic Suzuki graph. © 2009 Elsevier Inc. All rights reserved.
U2 - 10.1016/j.jcta.2008.12.006
DO - 10.1016/j.jcta.2008.12.006
M3 - Article
SN - 0097-3165
VL - 116
SP - 1056
EP - 1062
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 5
ER -