Best Known (6, 6+37, s)-Nets in Base 27
(6, 6+37, 76)-Net over F27 — Constructive and digital
Digital (6, 43, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
(6, 6+37, 626)-Net in Base 27 — Upper bound on s
There is no (6, 43, 627)-net in base 27, because
- 1 times m-reduction [i] would yield (6, 42, 627)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 1 340891 834257 631555 300203 551226 013626 022832 825471 922180 659765 > 2742 [i]