Best Known (7, 7+19, s)-Nets in Base 27
(7, 7+19, 82)-Net over F27 — Constructive and digital
Digital (7, 26, 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
(7, 7+19, 1505)-Net in Base 27 — Upper bound on s
There is no (7, 26, 1506)-net in base 27, because
- 1 times m-reduction [i] would yield (7, 25, 1506)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 611895 660672 405730 434678 091375 182373 > 2725 [i]