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|Title:||New Hadamard matrices of order 4 p2 obtained from Jacobi sums of order 16|
|Authors:||Leung, K.H. |
|Citation:||Leung, K.H., Ma, S.L., Schmidt, B. (2006-07). New Hadamard matrices of order 4 p2 obtained from Jacobi sums of order 16. Journal of Combinatorial Theory. Series A 113 (5) : 822-838. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcta.2005.07.011|
|Abstract:||Let p ≡ 7 mod 16 be a prime. Then there are integers a, b, c, d with a ≡ 15 mod 16, b ≡ 0 mod 4, p2 = a2 + 2 ( b2 + c2 + d2 ), and 2 ab = c2 - 2 cd - d2. We show that there is a regular Hadamard matrix of order 4 p2 provided that p = a ± 2 b or p = a + δ1 2 b + 4 δ2 c + 4 δ1 δ2 d with δi = ± 1. © 2006 Elsevier Inc. All rights reserved.|
|Source Title:||Journal of Combinatorial Theory. Series A|
|Appears in Collections:||Staff Publications|
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