Best Known (84−31, 84, s)-Nets in Base 32
(84−31, 84, 327)-Net over F32 — Constructive and digital
Digital (53, 84, 327)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 7, 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 (7, 17, 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 (7, 22, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (7, 38, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (0, 7, 33)-net over F32, using
(84−31, 84, 547)-Net in Base 32 — Constructive
(53, 84, 547)-net in base 32, using
- (u, u+v)-construction [i] based on
- (13, 28, 259)-net in base 32, using
- base change [i] based on (5, 20, 259)-net in base 128, using
- 4 times m-reduction [i] based on (5, 24, 259)-net in base 128, using
- base change [i] based on digital (2, 21, 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, 21, 259)-net over F256, using
- 4 times m-reduction [i] based on (5, 24, 259)-net in base 128, using
- base change [i] based on (5, 20, 259)-net in base 128, using
- (25, 56, 288)-net in base 32, using
- base change [i] based on digital (9, 40, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 40, 288)-net over F128, using
- (13, 28, 259)-net in base 32, using
(84−31, 84, 6381)-Net over F32 — Digital
Digital (53, 84, 6381)-net over F32, using
(84−31, 84, large)-Net in Base 32 — Upper bound on s
There is no (53, 84, large)-net in base 32, because
- 29 times m-reduction [i] would yield (53, 55, large)-net in base 32, but