A New Family of Relative Difference Sets in 2-Groups

Authors:
James A. Davis;Jonathan Jedwab
Affiliations:
Department of Mathematics and Computer Science, University of Richmond, Virginia 23173, U.S.A.;Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol BS34 8QZ, U.K.
Venue:
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Year:
1999

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Abstract

We recursively constructa new family of ( 2^{6d+4}, 8, 2^{6d+4}, 2^{6d+1})semi-regular relative difference sets in abelian groups Grelative to an elementary abelian subgroup U. Theinitial case d=0 of the recursion comprises examplesof ( 16,8,16,2) relative difference sets for fourdistinct pairs ( G,U).