Bi-Cayley normal uniform multiplicative designs

作者：Davis James A; Martinez Luis^*; Jose Sodupe Maria

来源：Discrete Mathematics, 2016, 339(9): 2224-2230.

DOI：10.1016/j.disc.2016.03.028

• Normal uniform multiplicative designs
• Difference families
• Bi-Cayley digraphs
• Semiregular actions

A study of normal uniform multiplicative designs admitting groups of automorphisms which act semiregularly on points and blocks and with two orbits is made. We call these designs Bi-Cayley normal uniform multiplicative designs (BCNUMD). It is also determined when the incidence matrices of such designs have maximum determinant. An infinite family of BCNUMDs is constructed which gives rise to symmetric designs.

• 出版日期2016-9-6