Best Known (36−24, 36, s)-Nets in Base 32
(36−24, 36, 120)-Net over F32 — Constructive and digital
Digital (12, 36, 120)-net over F32, using
- t-expansion [i] based on digital (11, 36, 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
(36−24, 36, 129)-Net over F32 — Digital
Digital (12, 36, 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
(36−24, 36, 150)-Net in Base 32 — Constructive
(12, 36, 150)-net in base 32, using
- 321 times duplication [i] based on (11, 35, 150)-net in base 32, using
- base change [i] based on digital (1, 25, 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, 25, 150)-net over F128, using
(36−24, 36, 161)-Net in Base 32
(12, 36, 161)-net in base 32, using
- base change [i] based on digital (6, 30, 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
(36−24, 36, 5584)-Net in Base 32 — Upper bound on s
There is no (12, 36, 5585)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1 533806 832307 906700 998101 795633 865570 688056 499980 018188 > 3236 [i]