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

N. A. Balonin, D. Ž. Ðokovic, and D. A. Karbovskiy. "Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113." Special Matrices 6.1 (2018): 11-22. <http://eudml.org/doc/288436>.

@article{N2018,
abstract = {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.},
author = {N. A. Balonin, D. Ž. Ðokovic, D. A. Karbovskiy},
journal = {Special Matrices},
keywords = {Symmetric Hadamard matrices; Propus array; cyclic difference families; Diophantine equations},
language = {eng},
number = {1},
pages = {11-22},
title = {Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113},
url = {http://eudml.org/doc/288436},
volume = {6},
year = {2018},
}

TY - JOUR
AU - N. A. Balonin
AU - D. Ž. Ðokovic
AU - D. A. Karbovskiy
TI - Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113
JO - Special Matrices
PY - 2018
VL - 6
IS - 1
SP - 11
EP - 22
AB - 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.
LA - eng
KW - Symmetric Hadamard matrices; Propus array; cyclic difference families; Diophantine equations
UR - http://eudml.org/doc/288436
ER -