Best Known (29, 81, s)-Nets in Base 64
(29, 81, 513)-Net over F64 — Constructive and digital
Digital (29, 81, 513)-net over F64, using
- t-expansion [i] based on digital (28, 81, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(29, 81, 70928)-Net in Base 64 — Upper bound on s
There is no (29, 81, 70929)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 199 852882 008956 514204 607185 390779 669493 866403 880567 785856 915454 561798 361890 777377 100549 719358 846363 163216 653819 609772 429110 592103 273361 599505 288320 > 6481 [i]