Best Known (9, 9+41, s)-Nets in Base 32
(9, 9+41, 104)-Net over F32 — Constructive and digital
Digital (9, 50, 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+41, 108)-Net over F32 — Digital
Digital (9, 50, 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+41, 1294)-Net in Base 32 — Upper bound on s
There is no (9, 50, 1295)-net in base 32, because
- 1 times m-reduction [i] would yield (9, 49, 1295)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 56 776515 085151 725229 129989 368096 158800 505986 316005 872585 815082 609121 276112 > 3249 [i]