Best Known (5, 50, s)-Nets in Base 64
(5, 50, 128)-Net over F64 — Constructive and digital
Digital (5, 50, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
(5, 50, 133)-Net over F64 — Digital
Digital (5, 50, 133)-net over F64, using
- net from sequence [i] based on digital (5, 132)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 133, using
(5, 50, 1504)-Net in Base 64 — Upper bound on s
There is no (5, 50, 1505)-net in base 64, because
- 1 times m-reduction [i] would yield (5, 49, 1505)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 32289 283557 545465 900224 523002 559817 240359 990182 776590 289271 191136 997330 697251 127566 510416 > 6449 [i]