Best Known (90, 90+74, s)-Nets in Base 3
(90, 90+74, 80)-Net over F3 — Constructive and digital
Digital (90, 164, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 82, 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
(90, 90+74, 113)-Net over F3 — Digital
Digital (90, 164, 113)-net over F3, using
(90, 90+74, 918)-Net in Base 3 — Upper bound on s
There is no (90, 164, 919)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 812643 445214 354541 095087 179333 458848 920642 375964 990704 963166 232608 601667 811495 > 3164 [i]