Best Known (86, 150, s)-Nets in Base 8
(86, 150, 354)-Net over F8 — Constructive and digital
Digital (86, 150, 354)-net over F8, using
- 8 times m-reduction [i] based on digital (86, 158, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 79, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 79, 177)-net over F64, using
(86, 150, 476)-Net over F8 — Digital
Digital (86, 150, 476)-net over F8, using
(86, 150, 31241)-Net in Base 8 — Upper bound on s
There is no (86, 150, 31242)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 2907 580914 699772 462137 462606 872148 854415 105067 189405 593898 850863 729726 639842 811354 691409 064218 512738 872360 611238 186504 948916 589275 644784 > 8150 [i]