Abstract
Let p be an odd prime. We first get some non-existence and structural results on (pn,p,pn,n) relative difference sets with gcd(p,n)=1 through a group ring approach. We then give a construction of (p(p+1),p,p(p+1),p+1) relative difference sets with p a Mersenne prime.
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Supported by National Natural Science Foundation of China (10331030).
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Feng, T. Relative (pn,p,pn,n)-difference sets with GCD(p,n)=1. J Algebr Comb 29, 91–106 (2009). https://doi.org/10.1007/s10801-008-0124-5
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DOI: https://doi.org/10.1007/s10801-008-0124-5