Relative ( pn , p , pn , n )-difference sets with GCD ( p , n )=1 |
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| Authors: | Tao Feng |
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| Affiliation: | (1) School of Mathematical Sciences, Peking University, Beijing, 100871, People’s Republic of China |
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| 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. Supported by National Natural Science Foundation of China (10331030). |
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| Keywords: | Relative difference set Group ring Semi-regular relative difference set |
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