Best Known (40−30, 40, s)-Nets in Base 27
(40−30, 40, 94)-Net over F27 — Constructive and digital
Digital (10, 40, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
(40−30, 40, 99)-Net over F27 — Digital
Digital (10, 40, 99)-net over F27, using
- t-expansion [i] based on digital (9, 40, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
(40−30, 40, 1613)-Net in Base 27 — Upper bound on s
There is no (10, 40, 1614)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1807 717048 041799 882427 402491 958035 403259 806869 123926 885753 > 2740 [i]