Best Known (8, 19, s)-Nets in Base 9
(8, 19, 40)-Net over F9 — Constructive and digital
Digital (8, 19, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
(8, 19, 42)-Net over F9 — Digital
Digital (8, 19, 42)-net over F9, using
- net from sequence [i] based on digital (8, 41)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 42, using
(8, 19, 884)-Net in Base 9 — Upper bound on s
There is no (8, 19, 885)-net in base 9, because
- 1 times m-reduction [i] would yield (8, 18, 885)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 150456 062079 496137 > 918 [i]