Best Known (73−60, 73, s)-Nets in Base 27
(73−60, 73, 96)-Net over F27 — Constructive and digital
Digital (13, 73, 96)-net over F27, using
- t-expansion [i] based on digital (11, 73, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(73−60, 73, 136)-Net over F27 — Digital
Digital (13, 73, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(73−60, 73, 1393)-Net in Base 27 — Upper bound on s
There is no (13, 73, 1394)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 315 178116 036990 866387 607624 022256 856721 934782 586050 279895 778034 510348 738974 611262 793186 173126 732248 275725 > 2773 [i]