Best Known (126−34, 126, s)-Nets in Base 3
(126−34, 126, 252)-Net over F3 — Constructive and digital
Digital (92, 126, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 42, 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
(126−34, 126, 441)-Net over F3 — Digital
Digital (92, 126, 441)-net over F3, using
(126−34, 126, 12320)-Net in Base 3 — Upper bound on s
There is no (92, 126, 12321)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 310079 654694 036688 858531 346386 969394 805292 783781 115436 683779 > 3126 [i]