Best Known (234−70, 234, s)-Nets in Base 3
(234−70, 234, 252)-Net over F3 — Constructive and digital
Digital (164, 234, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 78, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(234−70, 234, 513)-Net over F3 — Digital
Digital (164, 234, 513)-net over F3, using
(234−70, 234, 10733)-Net in Base 3 — Upper bound on s
There is no (164, 234, 10734)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 4437 972143 028541 490175 511798 457382 521893 902362 851058 518233 341464 579732 646628 510279 181481 594972 858408 547580 551681 > 3234 [i]