Best Known (21−13, 21, s)-Nets in Base 32
(21−13, 21, 98)-Net over F32 — Constructive and digital
Digital (8, 21, 98)-net over F32, using
- t-expansion [i] based on digital (7, 21, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
(21−13, 21, 257)-Net in Base 32 — Constructive
(8, 21, 257)-net in base 32, using
- base change [i] based on (2, 15, 257)-net in base 128, using
- 1 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- 1 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
(21−13, 21, 10044)-Net in Base 32 — Upper bound on s
There is no (8, 21, 10045)-net in base 32, because
- 1 times m-reduction [i] would yield (8, 20, 10045)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1 268340 617311 231671 408144 848500 > 3220 [i]