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Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113

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Balonin N. A., Ðokovic D. Ž., Karbovskiy D. A.

Special Matrices

2018

tom 6

nr 1

11-22

We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v ≤ 41. In this paper we cover the cases v = 43, 45, 47, 49, 51. The odd integers v < 120 for which no symmetric Hadamard matrices of order 4v are known are the following: 47, 59, 65, 67, 73, 81, 89, 93, 101, 103, 107, 109, 113, 119. By using the propus construction, we found several symmetric Hadamard matrices of order 4v for v = 47, 73, 113.

Ograniczanie wyników

1 Special Matrices

1 Balonin N. A.

1 Karbovskiy D. A.

1 Ðokovic D. Ž.

1 2018

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Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113