MinT - Best Known (37−13, 37, s)-Nets in Base 2

Best Known (37−13, 37, s)-Nets in Base 2

(37−13, 37, 40)-Net over F₂ — Constructive and digital

Digital (24, 37, 40)-net over F₂, using

3 times m-reduction [i] based on digital (24, 40, 40)-net over F₂, using
- a shift-net [i]

(37−13, 37, 183)-Net in Base 2 — Upper bound on s

There is no (24, 37, 184)-net in base 2, because

1 times m-reduction [i] would yield (24, 36, 184)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 70320 130955 > 2³⁶ [i]