HP Labs Technical Reports

A New Family of Relative Difference Sets in 2-Groups

Davis, James A.; Jedwab, Jonathan

HPL-98-124

Keyword(s): relative difference sets; recursive; building sets; characters

Abstract: We recursively construct a new family of (26d+4, 8, 26d+4, 26d+1) semi-regular relative difference sets in abelian groups G relative to an elementary abelian subgroup U. The initial case d = 0 of the recursion comprises examples of (16,8,16,2) relative difference sets for four distinct pairs (G, U). Notes: James A. Davis, Dept. of Mathematics & Computer Science, University of Richmond, VA 23173 USA

8 Pages

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