Best Known (67−25, 67, s)-Nets in Base 32
(67−25, 67, 300)-Net over F32 — Constructive and digital
Digital (42, 67, 300)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (6, 14, 98)-net over F32, using
- s-reduction based on digital (6, 14, 99)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 33)-net over F32, using
- digital (0, 4, 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, 8, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- generalized (u, u+v)-construction [i] based on
- s-reduction based on digital (6, 14, 99)-net over F32, using
- digital (7, 19, 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
- digital (9, 34, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- digital (6, 14, 98)-net over F32, using
(67−25, 67, 518)-Net in Base 32 — Constructive
(42, 67, 518)-net in base 32, using
- (u, u+v)-construction [i] based on
- (9, 21, 258)-net in base 32, using
- base change [i] based on (3, 15, 258)-net in base 128, using
- 1 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- base change [i] based on digital (1, 14, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 14, 258)-net over F256, using
- 1 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- base change [i] based on (3, 15, 258)-net in base 128, using
- (21, 46, 260)-net in base 32, using
- 2 times m-reduction [i] based on (21, 48, 260)-net in base 32, using
- base change [i] based on digital (3, 30, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- base change [i] based on digital (3, 30, 260)-net over F256, using
- 2 times m-reduction [i] based on (21, 48, 260)-net in base 32, using
- (9, 21, 258)-net in base 32, using
(67−25, 67, 5046)-Net over F32 — Digital
Digital (42, 67, 5046)-net over F32, using
(67−25, 67, large)-Net in Base 32 — Upper bound on s
There is no (42, 67, large)-net in base 32, because
- 23 times m-reduction [i] would yield (42, 44, large)-net in base 32, but