Best Known (157, 211, s)-Nets in Base 2
(157, 211, 195)-Net over F2 — Constructive and digital
Digital (157, 211, 195)-net over F2, using
- t-expansion [i] based on digital (156, 211, 195)-net over F2, using
- 2 times m-reduction [i] based on digital (156, 213, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 71, 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, 71, 65)-net over F8, using
- 2 times m-reduction [i] based on digital (156, 213, 195)-net over F2, using
(157, 211, 275)-Net over F2 — Digital
Digital (157, 211, 275)-net over F2, using
(157, 211, 2420)-Net in Base 2 — Upper bound on s
There is no (157, 211, 2421)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 3323 733952 507792 164487 701262 024368 642216 615711 736889 932545 809152 > 2211 [i]