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math.CO2004
All Difference Family Structures arise from Groups
Tim Boykett
Difference families are traditionally built using groups as their basis. This paper looks at what sort of generalised difference family constructions could be made, using the stand…
math.CO2004
Difference Methods and Ferrero Pairs
Tim Boykett, Peter Mayr
We present a construction method of BIB-designs from a finite group G and a group of automorphisms Φon G such that |Φ(x)| = |Φ| for all x in G, x <> 0. By using a generalization of…