Best Known (217−9, 217, s)-Nets in Base 2
(217−9, 217, large)-Net over F2 — Constructive and digital
Digital (208, 217, large)-net over F2, using
- 226 times duplication [i] based on digital (182, 191, large)-net over F2, using
- t-expansion [i] based on digital (180, 191, large)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (41, 46, 4194305)-net over F2, using
- digital (134, 145, 4194304)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (0, 5, 3)-net over F2, using
- net from sequence [i] based on digital (0, 2)-sequence over F2, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 0 and N(F) ≥ 3, using
- the rational function field F2(x) [i]
- Niederreiter sequence [i]
- Sobol sequence [i]
- net from sequence [i] based on digital (0, 2)-sequence over F2, using
- digital (129, 140, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 11), using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- digital (0, 5, 3)-net over F2, using
- (u, u+v)-construction [i] based on
- (u, u+v)-construction [i] based on
- t-expansion [i] based on digital (180, 191, large)-net over F2, using
(217−9, 217, large)-Net in Base 2 — Upper bound on s
There is no (208, 217, large)-net in base 2, because
- 7 times m-reduction [i] would yield (208, 210, large)-net in base 2, but