Best Known (94−64, 94, s)-Nets in Base 32
(94−64, 94, 120)-Net over F32 — Constructive and digital
Digital (30, 94, 120)-net over F32, using
- t-expansion [i] based on digital (11, 94, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(94−64, 94, 177)-Net in Base 32 — Constructive
(30, 94, 177)-net in base 32, using
- t-expansion [i] based on (25, 94, 177)-net in base 32, using
- 14 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- 14 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(94−64, 94, 273)-Net over F32 — Digital
Digital (30, 94, 273)-net over F32, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
(94−64, 94, 10870)-Net in Base 32 — Upper bound on s
There is no (30, 94, 10871)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3055 892525 917718 450965 568119 217318 966898 910101 971481 445914 799848 715429 543450 724757 380732 682268 196004 372968 557433 971622 114547 606690 481675 900129 > 3294 [i]