Best Known (46−39, 46, s)-Nets in Base 27
(46−39, 46, 82)-Net over F27 — Constructive and digital
Digital (7, 46, 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
(46−39, 46, 739)-Net in Base 27 — Upper bound on s
There is no (7, 46, 740)-net in base 27, because
- 1 times m-reduction [i] would yield (7, 45, 740)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 26441 170477 198492 491258 002989 253257 772621 050606 486736 058745 207953 > 2745 [i]