Best Known (9, 9+34, s)-Nets in Base 32
(9, 9+34, 104)-Net over F32 — Constructive and digital
Digital (9, 43, 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+34, 108)-Net over F32 — Digital
Digital (9, 43, 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+34, 1476)-Net in Base 32 — Upper bound on s
There is no (9, 43, 1477)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 52978 623932 570885 289140 391688 362193 676649 328411 630248 462434 696944 > 3243 [i]