Original scientific paper
A class of Siamese twin Menon designs
D. Crnković
Abstract
A{0,±1}-matrix S is called a Siamese twin design
sharing the entries of I, if S = I + K − L, where I, K, L are non-zero
{0, 1}-matrices and both I + K and I + L are incidence matrices of
symmetric designs with the same parameters. Let p and 2p−1 be prime powers and p ≡ 3 (mod 4). We describe a construction of a Siamese twin Menon design with parameters (4p², 2p² −p, p² −p), yielding a Siamese twin Hadamard design with parameters (4p ²− 1, 2p ²− 1, p² − 1).
Keywords
Hadamard matrix; symmetric design; Menon design; Siamese twin design
Hrčak ID:
17959
URI
Publication date:
7.12.2007.
Visits: 1.067 *