Best Known (9, 32, s)-Nets in Base 8
(9, 32, 45)-Net over F8 — Constructive and digital
Digital (9, 32, 45)-net over F8, using
- net from sequence [i] based on digital (9, 44)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
(9, 32, 239)-Net in Base 8 — Upper bound on s
There is no (9, 32, 240)-net in base 8, because
- 1 times m-reduction [i] would yield (9, 31, 240)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 10120 569717 937540 016951 340007 > 831 [i]