Best Known (35−27, 35, s)-Nets in Base 27
(35−27, 35, 84)-Net over F27 — Constructive and digital
Digital (8, 35, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
(35−27, 35, 92)-Net over F27 — Digital
Digital (8, 35, 92)-net over F27, using
- net from sequence [i] based on digital (8, 91)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 92, using
(35−27, 35, 1201)-Net in Base 27 — Upper bound on s
There is no (8, 35, 1202)-net in base 27, because
- 1 times m-reduction [i] would yield (8, 34, 1202)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 4 672406 872544 693196 267290 155206 333103 681946 665565 > 2734 [i]