Best Known (19, 75, s)-Nets in Base 64
(19, 75, 177)-Net over F64 — Constructive and digital
Digital (19, 75, 177)-net over F64, using
- t-expansion [i] based on digital (7, 75, 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
(19, 75, 257)-Net in Base 64 — Constructive
(19, 75, 257)-net in base 64, using
- 1 times m-reduction [i] based on (19, 76, 257)-net in base 64, using
- base change [i] based on digital (0, 57, 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, 57, 257)-net over F256, using
(19, 75, 315)-Net over F64 — Digital
Digital (19, 75, 315)-net over F64, using
- net from sequence [i] based on digital (19, 314)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 19 and N(F) ≥ 315, using
(19, 75, 12335)-Net in Base 64 — Upper bound on s
There is no (19, 75, 12336)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 2910 794772 116889 307581 672201 388666 480753 119892 262634 794876 311811 602222 099618 012184 009665 618045 747247 338382 710762 601815 511585 225756 349862 > 6475 [i]