Antipodal Polygons and Half-Circulant Hadamard Matrices

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2010
• Main Author: Medianik, A.I.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106633
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Antipodal Polygons and Half-Circulant Hadamard Matrices / A.I. Medianik // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 56-72. — Бібліогр.: 10 назв. — англ.

As known, the question on the existence of Hadamard matrices of order m = 4n, where n is an arbitrary natural number, is equivalent to the question on the possibility to inscribe a regular hypersimplex into the (4n ¡ 1)-dimensional cube. We introduced a class of Hadamard matrices of order 4n of half...