Best Known (110−29, 110, s)-Nets in Base 8
(110−29, 110, 610)-Net over F8 — Constructive and digital
Digital (81, 110, 610)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (24, 38, 256)-net over F8, using
- trace code for nets [i] based on digital (5, 19, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- trace code for nets [i] based on digital (5, 19, 128)-net over F64, using
- digital (43, 72, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 36, 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, 36, 177)-net over F64, using
- digital (24, 38, 256)-net over F8, using
(110−29, 110, 708)-Net in Base 8 — Constructive
(81, 110, 708)-net in base 8, using
- (u, u+v)-construction [i] based on
- (24, 38, 514)-net in base 8, using
- trace code for nets [i] based on (5, 19, 257)-net in base 64, using
- 1 times m-reduction [i] based on (5, 20, 257)-net in base 64, using
- base change [i] based on digital (0, 15, 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
- base change [i] based on digital (0, 15, 257)-net over F256, using
- 1 times m-reduction [i] based on (5, 20, 257)-net in base 64, using
- trace code for nets [i] based on (5, 19, 257)-net in base 64, using
- digital (43, 72, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 36, 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, 36, 177)-net over F64, using
- (24, 38, 514)-net in base 8, using
(110−29, 110, 5712)-Net over F8 — Digital
Digital (81, 110, 5712)-net over F8, using
(110−29, 110, large)-Net in Base 8 — Upper bound on s
There is no (81, 110, large)-net in base 8, because
- 27 times m-reduction [i] would yield (81, 83, large)-net in base 8, but