Abstract
We give two constructions for semi-regular relative difference sets (RDSs) in groups whose order is not a prime power, where the order u of the forbidden subgroup is greater than 2. No such RDSs were previously known. We use examples from the first construction to produce semi-regular RDSs in groups whose order can contain more than two distinct prime factors. For u greater than 2 these are the first such RDSs, and for u=2 we obtain new examples.
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Davis, J.A., Jedwab, J. & Mowbray, M. New Families of Semi-Regular Relative Difference Sets. Designs, Codes and Cryptography 13, 131–146 (1998). https://doi.org/10.1023/A:1008222227987
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DOI: https://doi.org/10.1023/A:1008222227987