Best Known (6, 6+23, s)-Nets in Base 27
(6, 6+23, 76)-Net over F27 — Constructive and digital
Digital (6, 29, 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+23, 825)-Net in Base 27 — Upper bound on s
There is no (6, 29, 826)-net in base 27, because
- 1 times m-reduction [i] would yield (6, 28, 826)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 12065 470223 341343 041334 656782 899580 286353 > 2728 [i]