Best Known (70−58, 70, s)-Nets in Base 27
(70−58, 70, 96)-Net over F27 — Constructive and digital
Digital (12, 70, 96)-net over F27, using
- t-expansion [i] based on digital (11, 70, 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
(70−58, 70, 109)-Net over F27 — Digital
Digital (12, 70, 109)-net over F27, using
- net from sequence [i] based on digital (12, 108)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 12 and N(F) ≥ 109, using
(70−58, 70, 1264)-Net in Base 27 — Upper bound on s
There is no (12, 70, 1265)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 15758 684059 259408 874054 558538 684039 375547 961867 139443 087756 133976 393862 825358 440463 010556 739506 833067 > 2770 [i]