The five known families of difference sets whose parameters (v, k, λ; n) satisfy the condition gcd(v,n) > 1 are the McFarland, Spence, Davis-Jedwab, Hadamard and Chen families. We survey recent work which uses recursive techniques to unify these difference set families, placing particular emphasis on examples. This unified approach has also proved useful for studying semi-regular relative difference sets and for constructing new symmetric designs.
Copyright © 1999 Springer. This chapter first appeared in Difference Sets, Sequences and their Correlation Properties.
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Davis, James A., and Jonathan Jedwab. "A Unified Approach to Difference Sets with gcd(V, N) > 1." In Difference Sets, Sequences and Their Correlation Properties, edited by A. Pott, V. Kumaran, Tor Helleseth, and Dieter Jungnickel, 85-112. Nato Science Series C. Netherlands: Springer, 1999.