Best Known (236−146, 236, s)-Nets in Base 3
(236−146, 236, 64)-Net over F3 — Constructive and digital
Digital (90, 236, 64)-net over F3, using
- t-expansion [i] based on digital (89, 236, 64)-net over F3, using
- net from sequence [i] based on digital (89, 63)-sequence over F3, using
- base reduction for sequences [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- base reduction for sequences [i] based on digital (13, 63)-sequence over F9, using
- net from sequence [i] based on digital (89, 63)-sequence over F3, using
(236−146, 236, 96)-Net over F3 — Digital
Digital (90, 236, 96)-net over F3, using
- t-expansion [i] based on digital (89, 236, 96)-net over F3, using
- net from sequence [i] based on digital (89, 95)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 89 and N(F) ≥ 96, using
- net from sequence [i] based on digital (89, 95)-sequence over F3, using
(236−146, 236, 419)-Net in Base 3 — Upper bound on s
There is no (90, 236, 420)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 40023 327586 427420 601023 818692 389102 215040 878033 063915 091843 824324 938073 694846 696766 750348 266613 447055 352993 615433 > 3236 [i]