Best Known (237−56, 237, s)-Nets in Base 2
(237−56, 237, 195)-Net over F2 — Constructive and digital
Digital (181, 237, 195)-net over F2, using
- t-expansion [i] based on digital (180, 237, 195)-net over F2, using
- 12 times m-reduction [i] based on digital (180, 249, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 83, 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, 83, 65)-net over F8, using
- 12 times m-reduction [i] based on digital (180, 249, 195)-net over F2, using
(237−56, 237, 375)-Net over F2 — Digital
Digital (181, 237, 375)-net over F2, using
(237−56, 237, 3949)-Net in Base 2 — Upper bound on s
There is no (181, 237, 3950)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 222368 195597 892446 501445 544916 080800 168612 622733 281275 020201 107541 293734 > 2237 [i]