Best Known (9, 25, s)-Nets in Base 32
(9, 25, 104)-Net over F32 — Constructive and digital
Digital (9, 25, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
(9, 25, 108)-Net over F32 — Digital
Digital (9, 25, 108)-net over F32, using
- net from sequence [i] based on digital (9, 107)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 108, using
(9, 25, 150)-Net in Base 32 — Constructive
(9, 25, 150)-net in base 32, using
- 3 times m-reduction [i] based on (9, 28, 150)-net in base 32, using
- base change [i] based on digital (1, 20, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- base change [i] based on digital (1, 20, 150)-net over F128, using
(9, 25, 6132)-Net in Base 32 — Upper bound on s
There is no (9, 25, 6133)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 42 548545 160866 929800 928201 591193 731134 > 3225 [i]