Abstract
In this paper we construct several infinite families of partial difference sets of both the Latin and negative Latin square type. Among these constructions is a new family having parameters \((3^{2t},r(3^t+1),-n+r^2+3r,r^2+r)\), where \(r=3^{t-1}+1\) (new for \(t \ge 4\)). For the cases where \(r = 3^{t-1}-1\) and \(3^{t-1}\), the constructions generalize previous results to a larger collection of abelian groups.
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Communicated by D. Jungnickel.
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Polhill, J. A new family of partial difference sets in 3-groups. Des. Codes Cryptogr. 87, 1639–1646 (2019). https://doi.org/10.1007/s10623-018-0562-6
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DOI: https://doi.org/10.1007/s10623-018-0562-6