Best Known (62, 98, s)-Nets in Base 8
(62, 98, 354)-Net over F8 — Constructive and digital
Digital (62, 98, 354)-net over F8, using
- 12 times m-reduction [i] based on digital (62, 110, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 55, 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, 55, 177)-net over F64, using
(62, 98, 514)-Net in Base 8 — Constructive
(62, 98, 514)-net in base 8, using
- 82 times duplication [i] based on (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
- base change [i] based on digital (36, 72, 514)-net over F16, using
(62, 98, 689)-Net over F8 — Digital
Digital (62, 98, 689)-net over F8, using
(62, 98, 89084)-Net in Base 8 — Upper bound on s
There is no (62, 98, 89085)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 31833 005848 840687 168155 801989 738353 719289 032203 432220 194911 220047 722074 457159 241945 420946 > 898 [i]