Best Known (96−36, 96, s)-Nets in Base 8
(96−36, 96, 354)-Net over F8 — Constructive and digital
Digital (60, 96, 354)-net over F8, using
- 10 times m-reduction [i] based on digital (60, 106, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 53, 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, 53, 177)-net over F64, using
(96−36, 96, 514)-Net in Base 8 — Constructive
(60, 96, 514)-net in base 8, using
- base change [i] based on digital (36, 72, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 36, 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, 36, 257)-net over F256, using
(96−36, 96, 613)-Net over F8 — Digital
Digital (60, 96, 613)-net over F8, using
(96−36, 96, 70703)-Net in Base 8 — Upper bound on s
There is no (60, 96, 70704)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 497 323932 242996 791214 415537 240919 876219 355491 366818 191724 436084 726750 446939 912854 117690 > 896 [i]