Best Known (77, 77+24, s)-Nets in Base 8
(77, 77+24, 708)-Net over F8 — Constructive and digital
Digital (77, 101, 708)-net over F8, using
- 1 times m-reduction [i] based on digital (77, 102, 708)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (26, 38, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 19, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 19, 177)-net over F64, using
- digital (39, 64, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 32, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64 (see above)
- trace code for nets [i] based on digital (7, 32, 177)-net over F64, using
- digital (26, 38, 354)-net over F8, using
- (u, u+v)-construction [i] based on
(77, 77+24, 1030)-Net in Base 8 — Constructive
(77, 101, 1030)-net in base 8, using
- 1 times m-reduction [i] based on (77, 102, 1030)-net in base 8, using
- (u, u+v)-construction [i] based on
- (20, 32, 514)-net in base 8, using
- base change [i] based on digital (12, 24, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 12, 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
- trace code for nets [i] based on digital (0, 12, 257)-net over F256, using
- base change [i] based on digital (12, 24, 514)-net over F16, using
- (45, 70, 516)-net in base 8, using
- trace code for nets [i] based on (10, 35, 258)-net in base 64, using
- 1 times m-reduction [i] based on (10, 36, 258)-net in base 64, using
- base change [i] based on digital (1, 27, 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, 27, 258)-net over F256, using
- 1 times m-reduction [i] based on (10, 36, 258)-net in base 64, using
- trace code for nets [i] based on (10, 35, 258)-net in base 64, using
- (20, 32, 514)-net in base 8, using
- (u, u+v)-construction [i] based on
(77, 77+24, 12459)-Net over F8 — Digital
Digital (77, 101, 12459)-net over F8, using
(77, 77+24, large)-Net in Base 8 — Upper bound on s
There is no (77, 101, large)-net in base 8, because
- 22 times m-reduction [i] would yield (77, 79, large)-net in base 8, but