Best Known (30−19, 30, s)-Nets in Base 8
(30−19, 30, 48)-Net over F8 — Constructive and digital
Digital (11, 30, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
(30−19, 30, 476)-Net in Base 8 — Upper bound on s
There is no (11, 30, 477)-net in base 8, because
- 1 times m-reduction [i] would yield (11, 29, 477)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 156 929549 226479 533231 393716 > 829 [i]