A series of Hadamard designs with large automorphism groups

[摘要] Whilst studying a certain symmetric (99, 49, 24)-design acted upon by a Frobenius group of order 21, it became clear that the design would be a member of an infinite series of symmetric (2q(2) + 1, q(2), (q(2) - 1)/2)-designs for odd prime powers q. Tn this note, we present the definition of the series and give some information about the automorphism groups of its members. (C) 2000 Academic Press.

[发布日期] 2000-12-15

[关键词] symmetric design;Hadamard matrix;incidence matrix;orbit structure