Best Known (89, 237, s)-Nets in Base 3
(89, 237, 64)-Net over F3 — Constructive and digital
Digital (89, 237, 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
(89, 237, 96)-Net over F3 — Digital
Digital (89, 237, 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
(89, 237, 409)-Net in Base 3 — Upper bound on s
There is no (89, 237, 410)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 129579 540186 677986 003850 514408 102742 009184 007913 486682 802068 496922 451151 957847 056510 860410 085973 643555 904330 971317 > 3237 [i]