Best Known (9, 9+65, s)-Nets in Base 32
(9, 9+65, 104)-Net over F32 — Constructive and digital
Digital (9, 74, 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, 9+65, 108)-Net over F32 — Digital
Digital (9, 74, 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, 9+65, 1103)-Net in Base 32 — Upper bound on s
There is no (9, 74, 1104)-net in base 32, because
- 1 times m-reduction [i] would yield (9, 73, 1104)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 76 617708 417363 916440 286577 178581 579318 752030 627570 433504 853595 407636 736810 146060 336857 845974 440061 511267 367838 > 3273 [i]