Combining Perfect Systems of Difference Sets |
| |
Authors: | Wild Peter |
| |
Institution: | CSIRO, Division of Mathematics and Statistics P.O. Box 218, Lindfield, N.S.W. 2070, Australia |
| |
Abstract: | We use sharply 2-transitive permutation groups to constructan additive sequence of permutations from a system of differencesets, each component of which has size one less than a primepower. This allows us to combine perfect systems of differencesets to form other perfect systems. In particular, if thereexists a perfect (m, n + 1, 1)-system and a perfect (q, n +1, 1)-system then there exists a perfect (mqn(n + 1) + m + q,n + 1, 1)-system. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|