论文标题
56分的准对称设计
Quasi-symmetric designs on 56 points
论文作者
论文摘要
探索了用于构建准对称块设计的计算技术，并以56美元的价格应用于案例。证明了一种新的$（56,16,18）$和许多新的$（56,16,6）$设计，并且证明了$（56,12,9）$（56,12,9）$和$（56,20,19）$（56,20,19）$设计具有某些自动形态组。已知的对称$（78,22,6）$设计的数量也大大增加。
Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with $56$ points. One new $(56,16,18)$ and many new $(56,16,6)$ designs are discovered, and non-existence of $(56,12,9)$ and $(56,20,19)$ designs with certain automorphism groups is proved. The number of known symmetric $(78,22,6)$ designs is also significantly increased.
