Best Known (31, 31+19, s)-Nets in Base 32
(31, 31+19, 297)-Net over F32 — Constructive and digital
Digital (31, 50, 297)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 33)-net over F32, using
- digital (0, 2, 33)-net over F32 (see above)
- digital (0, 2, 33)-net over F32 (see above)
- digital (0, 3, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- digital (0, 3, 33)-net over F32 (see above)
- digital (0, 4, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 6, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 9, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 19, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
(31, 31+19, 516)-Net in Base 32 — Constructive
(31, 50, 516)-net in base 32, using
- 322 times duplication [i] based on (29, 48, 516)-net in base 32, using
- base change [i] based on digital (11, 30, 516)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 20, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 10, 258)-net over F256, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (11, 30, 516)-net over F256, using
(31, 31+19, 3705)-Net over F32 — Digital
Digital (31, 50, 3705)-net over F32, using
(31, 31+19, large)-Net in Base 32 — Upper bound on s
There is no (31, 50, large)-net in base 32, because
- 17 times m-reduction [i] would yield (31, 33, large)-net in base 32, but