Cyclic Relative Difference Sets with Classical Parameters
Document Type
Article
Publication Date
4-1-2001
Identifier/URL
40958046 (Pure)
Abstract
We investigate the existence of cyclic relative difference sets with parameters ((qd−1)/(q−1), n, qd−1, qd−2(q−1)/n), q any prime power. One can think of these as “liftings” or “extensions” of the complements of Singer difference sets. When q is odd or d is even, we find that relative difference sets with these parameters exist if and only if n is a divisor of q−1. In case q is even and d is odd, relative difference sets with these parameters exist if and only if n is a divisor of 2(q−1).
Repository Citation
Arasu, K. T.,
Dillon, J. F.,
Leung, K. H.,
& Leung, S. L.
(2001). Cyclic Relative Difference Sets with Classical Parameters. Journal of Combinatorial Theory. Series A, 94 (1), 118-126.
https://corescholar.libraries.wright.edu/math/505
DOI
10.1006/jcta.2000.3137
