New Hadamard Matrices of Order 4p obtained from Jacobi Sums

نویسندگان

  • Ka Hin Leung
  • Siu Lun Ma
چکیده

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 = a + 2(b + c + d), and 2ab = c − 2cd − d. We show that there is a regular Hadamard matrix of order 4p provided that p = a± 2b or p = a+ δ1b+4δ2c+4δ1δ2d with δi = ±1. ∗This research was done during a visit of the first two authors at the University of Augsburg

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تاریخ انتشار 2005