Best Known (90−70, 90, s)-Nets in Base 32
(90−70, 90, 120)-Net over F32 — Constructive and digital
Digital (20, 90, 120)-net over F32, using
- t-expansion [i] based on digital (11, 90, 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
(90−70, 90, 128)-Net in Base 32 — Constructive
(20, 90, 128)-net in base 32, using
- base change [i] based on digital (5, 75, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
(90−70, 90, 177)-Net over F32 — Digital
Digital (20, 90, 177)-net over F32, using
- net from sequence [i] based on digital (20, 176)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 20 and N(F) ≥ 177, using
(90−70, 90, 3310)-Net in Base 32 — Upper bound on s
There is no (20, 90, 3311)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2916 766043 797148 334882 312662 024112 897498 861324 362701 842296 519333 442630 604166 305288 158330 811572 773147 930801 581956 968325 821112 573864 207212 > 3290 [i]