HP Labs Technical Reports
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New Families of SemiRegular RelativeDifference Sets
Davis, James A.; Jedwab, Jonathan;Mowbray, Miranda
HPL9634 (R.1)
Keyword(s): No Keywords Available
Abstract: We give two constructions for semiregularrelative difference sets (RDSs) in groupswhose order is not a prime power, where theorder u of the forbidden subgroup is greaterthan 2. No such RDSs were previouslyknown. We use examples from the firstconstruction to produce semiregular RDSsin groups whose order can contain morethen two distinct prime factors. For u greaterthan or similar to 2 these are the first such RDSs,and for u=2 we obtain previously unknownexamples.
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