Best Known (11, 11+25, s)-Nets in Base 32
(11, 11+25, 120)-Net over F32 — Constructive and digital
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
(11, 11+25, 129)-Net in Base 32 — Constructive
(11, 36, 129)-net in base 32, using
- 321 times duplication [i] based on (10, 35, 129)-net in base 32, using
- base change [i] based on digital (0, 25, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- base change [i] based on digital (0, 25, 129)-net over F128, using
(11, 11+25, 133)-Net in Base 32
(11, 36, 133)-net in base 32, using
- base change [i] based on digital (5, 30, 133)-net over F64, using
- net from sequence [i] based on digital (5, 132)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 133, using
- net from sequence [i] based on digital (5, 132)-sequence over F64, using
(11, 11+25, 4182)-Net in Base 32 — Upper bound on s
There is no (11, 36, 4183)-net in base 32, because
- 1 times m-reduction [i] would yield (11, 35, 4183)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 47993 762675 883882 460234 801606 236190 392649 180020 166414 > 3235 [i]