Best Known (1, 4, s)-Nets in Base 2
(1, 4, 7)-Net over F2 — Constructive and digital
Digital (1, 4, 7)-net over F2, using
- net defined by OOA [i] based on linear OOA(24, 7, F2, 3, 3) (dual of [(7, 3), 17, 4]-NRT-code), using
(1, 4, 7)-Net in Base 2 — Upper bound on s
There is no (1, 4, 8)-net in base 2, because
- 1 times m-reduction [i] would yield (1, 3, 8)-net in base 2, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 2m ≥ 9 > 23 [i]