Best Known (92−75, 92, s)-Nets in Base 9
(92−75, 92, 74)-Net over F9 — Constructive and digital
Digital (17, 92, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
(92−75, 92, 384)-Net in Base 9 — Upper bound on s
There is no (17, 92, 385)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 91, 385)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 693 366952 529083 098363 000859 403801 042465 511364 863618 133425 998257 778487 663801 294891 190185 > 991 [i]