Best Known (9, 9+42, s)-Nets in Base 32
(9, 9+42, 104)-Net over F32 — Constructive and digital
Digital (9, 51, 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+42, 108)-Net over F32 — Digital
Digital (9, 51, 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+42, 1255)-Net in Base 32 — Upper bound on s
There is no (9, 51, 1256)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 58357 208150 681210 799535 871770 140068 933029 050950 962196 229184 814107 730610 179286 > 3251 [i]