Best Known (229−70, 229, s)-Nets in Base 3
(229−70, 229, 228)-Net over F3 — Constructive and digital
Digital (159, 229, 228)-net over F3, using
- 31 times duplication [i] based on digital (158, 228, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 76, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- trace code for nets [i] based on digital (6, 76, 76)-net over F27, using
(229−70, 229, 470)-Net over F3 — Digital
Digital (159, 229, 470)-net over F3, using
(229−70, 229, 9169)-Net in Base 3 — Upper bound on s
There is no (159, 229, 9170)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 18 269861 249910 624021 378835 184121 732342 273504 998354 302200 476934 162135 042410 571518 844652 106849 734253 850160 189905 > 3229 [i]