Best Known (150, 200, s)-Nets in Base 3
(150, 200, 328)-Net over F3 — Constructive and digital
Digital (150, 200, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 50, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
(150, 200, 850)-Net over F3 — Digital
Digital (150, 200, 850)-net over F3, using
(150, 200, 33361)-Net in Base 3 — Upper bound on s
There is no (150, 200, 33362)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 265689 320033 063411 227026 440742 538053 463433 232834 170377 904035 082761 294425 928632 198491 635382 495541 > 3200 [i]