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 ${\mathbb{F}}_2$ generated by matrices $(I,B,B^2)$ where $I$ is the identity matrix and $B$ is a square matrix. We give a characterization…