Best Known (60−44, 60, s)-Nets in Base 64
(60−44, 60, 177)-Net over F64 — Constructive and digital
Digital (16, 60, 177)-net over F64, using
- t-expansion [i] based on digital (7, 60, 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
(60−44, 60, 258)-Net in Base 64 — Constructive
(16, 60, 258)-net in base 64, using
- base change [i] based on digital (1, 45, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(60−44, 60, 267)-Net over F64 — Digital
Digital (16, 60, 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
(60−44, 60, 289)-Net in Base 64
(16, 60, 289)-net in base 64, using
- base change [i] based on digital (1, 45, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
(60−44, 60, 12107)-Net in Base 64 — Upper bound on s
There is no (16, 60, 12108)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 2 348953 068900 029484 763752 129387 876931 680235 237517 937070 994643 921047 057390 120360 660484 937786 247555 342770 516072 > 6460 [i]