Best Known (188−86, 188, s)-Nets in Base 3
(188−86, 188, 80)-Net over F3 — Constructive and digital
Digital (102, 188, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 94, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(188−86, 188, 122)-Net over F3 — Digital
Digital (102, 188, 122)-net over F3, using
(188−86, 188, 987)-Net in Base 3 — Upper bound on s
There is no (102, 188, 988)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 514319 932359 389707 915619 367893 152731 571875 352586 130385 524721 124887 712782 641324 677003 262801 > 3188 [i]