Best Known (10, 25, s)-Nets in Base 9
(10, 25, 40)-Net over F9 — Constructive and digital
Digital (10, 25, 40)-net over F9, using
- t-expansion [i] based on digital (8, 25, 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
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(10, 25, 54)-Net over F9 — Digital
Digital (10, 25, 54)-net over F9, using
- net from sequence [i] based on digital (10, 53)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 10 and N(F) ≥ 54, using
(10, 25, 785)-Net in Base 9 — Upper bound on s
There is no (10, 25, 786)-net in base 9, because
- 1 times m-reduction [i] would yield (10, 24, 786)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 79814 877931 135093 732785 > 924 [i]