A New Family of Relative Difference Sets in 2-Groups

Davis, James A. ; Jedwab, Jonathan

HP Development Company

关键词: relative difference sets;    recursive;    building sets;    characters;   

RP-ID  :  HPL-98-124

学科分类：计算机科学（综合）

美国|英语

来源: HP Labs

【 摘 要 】

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