Best Known (9, 47, s)-Nets in Base 64
(9, 47, 177)-Net over F64 — Constructive and digital
Digital (9, 47, 177)-net over F64, using
- t-expansion [i] based on digital (7, 47, 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
(9, 47, 209)-Net over F64 — Digital
Digital (9, 47, 209)-net over F64, using
- net from sequence [i] based on digital (9, 208)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 9 and N(F) ≥ 209, using
(9, 47, 3687)-Net in Base 64 — Upper bound on s
There is no (9, 47, 3688)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 7 801493 834430 767098 927323 859155 859695 356216 930294 428859 059781 328450 710049 120456 035650 > 6447 [i]