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- W2037687558 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 , p 2 = a 2 + 2 ( b 2 + c 2 + d 2 ) , and 2 ab = c 2 - 2 cd - d 2 . We show that there is a regular Hadamard matrix of order 4 p 2 provided that p = a ± 2 b or p = a + δ 1 2 b + 4 δ 2 c + 4 δ 1 δ 2 d with δ i = ± 1 ." @default.
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- W2037687558 date "2006-07-01" @default.
- W2037687558 modified "2023-09-30" @default.
- W2037687558 title "New Hadamard matrices of order <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mn>4</mml:mn><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> obtained from Jacobi sums of order 16" @default.
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- W2037687558 doi "https://doi.org/10.1016/j.jcta.2005.07.011" @default.
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