Best Known (17, 17+93, s)-Nets in Base 27
(17, 17+93, 96)-Net over F27 — Constructive and digital
Digital (17, 110, 96)-net over F27, using
- t-expansion [i] based on digital (11, 110, 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
(17, 17+93, 144)-Net over F27 — Digital
Digital (17, 110, 144)-net over F27, using
- t-expansion [i] based on digital (16, 110, 144)-net over F27, using
- net from sequence [i] based on digital (16, 143)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 16 and N(F) ≥ 144, using
- net from sequence [i] based on digital (16, 143)-sequence over F27, using
(17, 17+93, 1681)-Net in Base 27 — Upper bound on s
There is no (17, 110, 1682)-net in base 27, because
- 1 times m-reduction [i] would yield (17, 109, 1682)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 1 050766 447861 973887 912125 700550 618539 686953 529055 277652 631960 637456 436965 885631 276602 227218 727469 985635 156790 879925 629099 520882 000609 302167 662106 450573 929581 > 27109 [i]