Best Known (40−33, 40, s)-Nets in Base 27
(40−33, 40, 82)-Net over F27 — Constructive and digital
Digital (7, 40, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
(40−33, 40, 798)-Net in Base 27 — Upper bound on s
There is no (7, 40, 799)-net in base 27, because
- 1 times m-reduction [i] would yield (7, 39, 799)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 67 570920 213652 375168 546889 196051 647892 002069 674376 473185 > 2739 [i]