Hiroki Kajiura

activity

20182025

B

such that

(I, B, B^{2})

generates a digital net with

t

-value zero

4 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2025

A categorical proof of the nonexistence of (120, 35, 10)-difference sets

Hiroki Kajiura, Makoto Matsumoto

A difference set with parameters $(v, k, λ)$ is a subset $D$ of cardinality $k$ in a finite group $G$ of order $v$ , such that the number $λ$ of occurrences of $g \in G$ as the rati…

math.CO2019★ 1 cited

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.NT2018★ 4 cited

Characterization of matrices $B$ such that $(I, B, B^{2})$ generates a digital net with $t$ -value zero

Hiroki Kajiura, Makoto Matsumoto, Kosuke Suzuki

We study $3$ -dimensional digital nets over $F_{2}$ generated by matrices $(I, B, B^{2})$ where $I$ is the identity matrix and $B$ is a square matrix. We give a characterization…

A categorical proof of the nonexistence of (120, 35, 10)-difference sets

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

Characterization of matrices B such that (I,B,B2) generates a digital net with t-value zero

Characterization of matrices $B$ such that $(I, B, B^{2})$ generates a digital net with $t$ -value zero