T. Okuda

activity

20132021

most citedGreat antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

2 citations · 4 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.CO2020

Explicit construction of exact unitary designs

Eiichi Bannai, Yoshifumi Nakata, Takayuki Okuda +1

The purpose of this paper is to give explicit constructions of unitary $t$ -designs in the unitary group $U (d)$ for all $t$ and $d$ . It seems that the explicit constructions were so…

math.CO2019

Approximation of integration over finite groups, difference sets and association schemes

Hiroki Kajiura, Makoto Matsumoto, Takayuki Okuda

Let $G$ be a finite group and $f : G \to C$ be a function. For a non-empty finite subset $Y \subset G$ , let $I_{Y} (f)$ denote the average of $f$ over $Y$ . Then, $I_{G} (f)$ is th…

math.CO2013★ 2 cited

Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

Hirotake Kurihara, Takayuki Okuda

The aim of this paper is a characterization of great antipodal sets of complex Grassmannian manifolds as certain designs with the smallest cardinalities.