Best Known (188−46, 188, s)-Nets in Base 3
(188−46, 188, 400)-Net over F3 — Constructive and digital
Digital (142, 188, 400)-net over F3, using
- trace code for nets [i] based on digital (1, 47, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(188−46, 188, 881)-Net over F3 — Digital
Digital (142, 188, 881)-net over F3, using
(188−46, 188, 37420)-Net in Base 3 — Upper bound on s
There is no (142, 188, 37421)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 499864 185235 976203 370852 303559 641685 298314 600490 197378 376505 225198 920423 555478 737172 779707 > 3188 [i]