engleski

A Series of Siamese Twin Designs

A $\{; ; 0, \pm 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 $2p+3$ be prime powers and $p \equiv 3\ (mod\ 4)$. We construct a Siamese twin design with parameters $(4(p+1)^2, 2p^2 +3p+1, p^2 + p)$.

regular Hadamard matrix; symmetric design; Menon design; Siamese twin design

nije evidentirano