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Generalizations of Partial Difference Sets from Cyclotomy to Nonelementary Abelian $p$-Groups

2008
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Electronic Journal of Combinatorics
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A partial difference set having parameters $(n^2, r(n-1), n+r^2-3r,r^2-r)$ is called a Latin square type partial difference set, while a partial difference set having parameters $(n^2, r(n+1), -n+r^2+3r,r^2+r)$ is called a negative Latin square type partial difference set. In this paper, we generalize well-known negative Latin square type partial difference sets derived from the theory of cyclotomy. We use the partial difference sets in elementary abelian groups to generate analogous partial

doi:10.37236/849
fatcat:bbmez54gp5bcrjmpjxv677avuu