Best Known (1, 1+4, s)-Nets in Base 32
(1, 1+4, 44)-Net over F32 — Constructive and digital
Digital (1, 5, 44)-net over F32, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
(1, 1+4, 65)-Net in Base 32 — Constructive
(1, 5, 65)-net in base 32, using
- 1 times m-reduction [i] based on (1, 6, 65)-net in base 32, using
- base change [i] based on digital (0, 5, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base change [i] based on digital (0, 5, 65)-net over F64, using
(1, 1+4, 256)-Net in Base 32 — Upper bound on s
There is no (1, 5, 257)-net in base 32, because
- extracting embedded orthogonal array [i] would yield OA(325, 257, S32, 4), but
- the linear programming bound shows that M ≥ 1 561476 317184 / 46349 > 325 [i]