Best Known (16, 64, s)-Nets in Base 64
(16, 64, 177)-Net over F64 — Constructive and digital
Digital (16, 64, 177)-net over F64, using
- t-expansion [i] based on digital (7, 64, 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
(16, 64, 257)-Net in Base 64 — Constructive
(16, 64, 257)-net in base 64, using
- base change [i] based on digital (0, 48, 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
(16, 64, 267)-Net over F64 — Digital
Digital (16, 64, 267)-net over F64, using
- net from sequence [i] based on digital (16, 266)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 16 and N(F) ≥ 267, using
(16, 64, 10185)-Net in Base 64 — Upper bound on s
There is no (16, 64, 10186)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 39 418779 853939 213772 621381 718927 418660 655675 820468 922201 437311 382444 130198 938963 284632 108134 076339 321096 250971 187356 > 6464 [i]