Best Known (92−34, 92, s)-Nets in Base 8
(92−34, 92, 354)-Net over F8 — Constructive and digital
Digital (58, 92, 354)-net over F8, using
- 10 times m-reduction [i] based on digital (58, 102, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 51, 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, 51, 177)-net over F64, using
(92−34, 92, 514)-Net in Base 8 — Constructive
(58, 92, 514)-net in base 8, using
- base change [i] based on digital (35, 69, 514)-net over F16, using
- 1 times m-reduction [i] based on digital (35, 70, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 35, 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, 35, 257)-net over F256, using
- 1 times m-reduction [i] based on digital (35, 70, 514)-net over F16, using
(92−34, 92, 636)-Net over F8 — Digital
Digital (58, 92, 636)-net over F8, using
(92−34, 92, 79086)-Net in Base 8 — Upper bound on s
There is no (58, 92, 79087)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 121439 041080 872344 943981 607682 517624 256004 672533 190449 189530 194327 041502 562258 338876 > 892 [i]