Best Known (38, 38+22, s)-Nets in Base 32
(38, 38+22, 308)-Net over F32 — Constructive and digital
Digital (38, 60, 308)-net over F32, using
- 1 times m-reduction [i] based on digital (38, 61, 308)-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, 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, 5, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 7, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 11, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (1, 24, 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
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- generalized (u, u+v)-construction [i] based on
(38, 38+22, 518)-Net in Base 32 — Constructive
(38, 60, 518)-net in base 32, using
- (u, u+v)-construction [i] based on
- (10, 21, 259)-net in base 32, using
- base change [i] based on (4, 15, 259)-net in base 128, using
- 1 times m-reduction [i] based on (4, 16, 259)-net in base 128, using
- base change [i] based on digital (2, 14, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- base change [i] based on digital (2, 14, 259)-net over F256, using
- 1 times m-reduction [i] based on (4, 16, 259)-net in base 128, using
- base change [i] based on (4, 15, 259)-net in base 128, using
- (17, 39, 259)-net in base 32, using
- 1 times m-reduction [i] based on (17, 40, 259)-net in base 32, using
- base change [i] based on digital (2, 25, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256 (see above)
- base change [i] based on digital (2, 25, 259)-net over F256, using
- 1 times m-reduction [i] based on (17, 40, 259)-net in base 32, using
- (10, 21, 259)-net in base 32, using
(38, 38+22, 5602)-Net over F32 — Digital
Digital (38, 60, 5602)-net over F32, using
(38, 38+22, large)-Net in Base 32 — Upper bound on s
There is no (38, 60, large)-net in base 32, because
- 20 times m-reduction [i] would yield (38, 40, large)-net in base 32, but