Best Known (10, 70, s)-Nets in Base 27
(10, 70, 94)-Net over F27 — Constructive and digital
Digital (10, 70, 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
(10, 70, 99)-Net over F27 — Digital
Digital (10, 70, 99)-net over F27, using
- t-expansion [i] based on digital (9, 70, 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
(10, 70, 997)-Net in Base 27 — Upper bound on s
There is no (10, 70, 998)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 15905 134708 923723 994767 594229 483383 829139 143145 198912 074698 586102 608191 278843 813602 766668 329905 227141 > 2770 [i]