Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Szöllősi, Ferenc"'
Autor:
Matszangosz, Ákos K., Szöllősi, Ferenc
It is shown that a normalized complex Hadamard matrix of order $6$ having three distinct columns, each containing at least one $-1$ entry necessarily belongs to the transposed Fourier family, or to the family of $2$-circulant complex Hadamard matrice
Externí odkaz:
http://arxiv.org/abs/2405.09991
Autor:
Szöllősi, Ferenc
The kissing number $\tau(d)$ is the maximum number of pairwise non-overlapping unit spheres each touching a central unit sphere in the $d$-dimensional Euclidean space. In this note we report on how we discovered a new, previously unknown arrangement
Externí odkaz:
http://arxiv.org/abs/2301.08272
Autor:
Ganzhinov, Mikhail, Szöllősi, Ferenc
Line systems passing through the origin of the $d$ dimensional Euclidean space admitting exactly two distinct angles are called biangular. It is shown that the maximum cardinality of biangular lines is at least $2(d-1)(d-2)$, and this result is sharp
Externí odkaz:
http://arxiv.org/abs/1910.05950
Autor:
Szöllősi, Ferenc
A finite set of distinct vectors $\mathcal{X}$ in the $d$-dimensional Euclidean space $\mathbb{R}^d$ is called a $2$-distance set, if the set of mutual distances between distinct elements of $\mathcal{X}$ has cardinality exactly $2$. In this note we
Externí odkaz:
http://arxiv.org/abs/1806.07861
A finite set of distinct vectors $\mathcal{X}$ in the $d$-dimensional Euclidean space $\mathbb{R}^d$ is called an $s$-distance set if the set of mutual distances between distinct elements of $\mathcal{X}$ has cardinality $s$. In this paper we present
Externí odkaz:
http://arxiv.org/abs/1804.06040
Autor:
Szöllősi, Ferenc
It is shown that a classical construction of D.S. Asche of 72 equiangular lines in the 19 dimensional Euclidean space contains a subset of 54 equiangular lines embedded in an 18 dimensional subspace.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/1703.04505
In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order $n\leq 13$. Based on this Seidel matrices with exactly three distinct eigenvalues of order $n\leq 23$ are classified. One
Externí odkaz:
http://arxiv.org/abs/1703.02943
Autor:
Szöllősi, Ferenc
In this paper we describe some new algebraic features of the Gram matrices of complex Equiangular Tight Frames (ETF). This lead on the one hand to the nonexistence of several low dimensional complex ETFs; and on the other hand to the full algebraic c
Externí odkaz:
http://arxiv.org/abs/1402.6429
Autor:
Lee, Moon Ho, Szöllősi, Ferenc
In this paper we introduce modular symmetric designs and use them to study the existence of Hadamard matrices modulo 5. We prove that there exist 5-modular Hadamard matrices of order n if and only if n != 3, 7 (mod 10) or n != 6, 11. In particular, t
Externí odkaz:
http://arxiv.org/abs/1307.1981
Autor:
Szöllősi, Ferenc
Publikováno v:
Advances in Mathematics of Communications 5 309--315 (2011)
One of the main goals of design theory is to classify, characterize and count various combinatorial objects with some prescribed properties. In most cases, however, one quickly encounters a combinatorial explosion and even if the complete enumeration
Externí odkaz:
http://arxiv.org/abs/1204.5160