Corpus ID: 125193002

Two infinite families of symmetric hadamard matrices

@inproceedings{Seberry2017TwoIF,
  title={Two infinite families of symmetric hadamard matrices},
  author={J. Seberry and N. A. Balonin},
  year={2017}
}
A construction method for orthogonal ±1 matrices based on a variation of the Williamson array, first described by N.A. Balonin, on his web page mathscinet.ru/catalogue/propus/ where he called it the propus array, gives symmetric propus-Hadamard matrices using A B B D B D −A −B B −A −D B D −B B −A We show that: for q ≡ 1 (mod 4), a prime power, symmetric propusHadamard matrices exist for order 2(q + 1); and for q ≡ 1 (mod 4), a prime power, and 12(q + 1) a prime power or the order of the core of… Expand
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