A Complete Classification of Digital (0,m, 3)-Nets and Digital (0, 2)-Sequences in Base 2

We give a complete classification of all matrices C 1 , C 2 , C 3 ∈ C 3 ∈ 2 m × m {C_3} \in \mathbb{F}_2^{m \times m} which generate a digital (0, m, 3)-net in base 2 and a complete classification of all matrices C 1 , C 2 ∈ C 2 ∈ 2 ℕ × ℕ {C_2} \in \mathbb{F}_2^{\mathbb{N} \times \mathbb{N}} which generate a digital (0, 2)-sequence in base 2.