Best Known (41−28, 41, s)-Nets in Base 32
(41−28, 41, 120)-Net over F32 — Constructive and digital
Digital (13, 41, 120)-net over F32, using
- t-expansion [i] based on digital (11, 41, 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
(41−28, 41, 129)-Net over F32 — Digital
Digital (13, 41, 129)-net over F32, using
- t-expansion [i] based on digital (12, 41, 129)-net over F32, using
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 12 and N(F) ≥ 129, using
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
(41−28, 41, 150)-Net in Base 32 — Constructive
(13, 41, 150)-net in base 32, using
- 1 times m-reduction [i] based on (13, 42, 150)-net in base 32, using
- base change [i] based on digital (1, 30, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- base change [i] based on digital (1, 30, 150)-net over F128, using
(41−28, 41, 161)-Net in Base 32
(13, 41, 161)-net in base 32, using
- 1 times m-reduction [i] based on (13, 42, 161)-net in base 32, using
- base change [i] based on digital (6, 35, 161)-net over F64, using
- net from sequence [i] based on digital (6, 160)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 6 and N(F) ≥ 161, using
- net from sequence [i] based on digital (6, 160)-sequence over F64, using
- base change [i] based on digital (6, 35, 161)-net over F64, using
(41−28, 41, 4982)-Net in Base 32 — Upper bound on s
There is no (13, 41, 4983)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 51 523020 931656 168453 708540 755432 047539 929662 592158 374409 029462 > 3241 [i]