Best Known (9, 24, s)-Nets in Base 32
(9, 24, 104)-Net over F32 — Constructive and digital
Digital (9, 24, 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, 24, 108)-Net over F32 — Digital
Digital (9, 24, 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, 24, 257)-Net in Base 32 — Constructive
(9, 24, 257)-net in base 32, using
- base change [i] based on digital (0, 15, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(9, 24, 9613)-Net in Base 32 — Upper bound on s
There is no (9, 24, 9614)-net in base 32, because
- 1 times m-reduction [i] would yield (9, 23, 9614)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 41538 415251 900164 997359 465146 101516 > 3223 [i]