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

• Autorzy: N. A. Balonin , D. Ž. Ðokovic , D. A. Karbovskiy
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Symmetric Hadamard matrices; Propus array; cyclic difference families; Diophantine equations

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2018
• Tom: 6
• Numer: 1
• Strony: 11-22

Daty

wydano

2018-01-01

otrzymano

2017-10-07

zaakceptowano

2017-12-22

online

2018-01-24

Twórcy

autor

N. A. Balonin

• ,

autor

D. Ž. Ðokovic

• , N2L 3G1,

autor

D. A. Karbovskiy

• ,

Identyfikatory

DOI

10.1515/spma-2018-0002