A new product construction for partial difference sets

J Polhill, JA Davis, K Smith - Designs, codes and cryptography, 2013 - Springer
J Polhill, JA Davis, K Smith
Designs, codes and cryptography, 2013Springer
Relatively few constructions are known of negative Latin square type Partial Difference Sets
(PDSs), and most of the known constructions are in elementary abelian groups. We present
a product construction that produces negative Latin square type PDSs, and we apply this
product construction to generate examples in p-groups of exponent bigger than p.
Abstract
Relatively few constructions are known of negative Latin square type Partial Difference Sets (PDSs), and most of the known constructions are in elementary abelian groups. We present a product construction that produces negative Latin square type PDSs, and we apply this product construction to generate examples in p-groups of exponent bigger than p.
Springer
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