Abstract
Let q be a prime power of the form q=12c2+4c+3 for c an integer. In this paper we construct a difference family with parameters (2q2;q2,q2,q2,q2−1;2q2−2) in Z2×(Fq2,+). As a consequence, by applying the Wallis–Whiteman array, we obtain Hadamard matrices of order 4(2q2+1) for the aforementioned q’s.
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