Best Known (203−46, 203, s)-Nets in Base 2
(203−46, 203, 198)-Net over F2 — Constructive and digital
Digital (157, 203, 198)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (0, 23, 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 (134, 180, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 60, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 60, 65)-net over F8, using
- digital (0, 23, 3)-net over F2, using
(203−46, 203, 367)-Net over F2 — Digital
Digital (157, 203, 367)-net over F2, using
(203−46, 203, 4245)-Net in Base 2 — Upper bound on s
There is no (157, 203, 4246)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 12 895128 630650 319561 426107 514568 130689 087755 358803 159856 215148 > 2203 [i]