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.
@article{bwmeta1.element.doi-10_1515_spma-2018-0002,
author = {N. A. Balonin and D. Z. Dokovic and D. A. Karbovskiy},
title = {Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113},
journal = {Special Matrices},
volume = {6},
year = {2018},
pages = {11-22},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2018-0002}
}
N. A. Balonin; D. Ž. Ðokovic; D. A. Karbovskiy. Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113. Special Matrices, Tome 6 (2018) pp. 11-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2018-0002/