Some infinite classes of special Williamson matrices and difference sets
Journal of Combinatorial Theory Series A
A New Method for Constructing Williamson Matrices
Designs, Codes and Cryptography
Paley type partial difference sets in non p-groups
Designs, Codes and Cryptography
Paley partial difference sets in groups of order n4 and 9n4 for any odd n1
Journal of Combinatorial Theory Series A
On the Existence of Abelian Hadamard Difference Sets and a New Family of Difference Sets
Finite Fields and Their Applications
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In this paper, we present a new way of viewing Xia's construction of Hadamard difference sets. Based on this new point of view, we give a character theoretic proof for Xia's construction. Also we point out a connection between the construction and projective three-weight codes.