Best Known (6, 6+44, s)-Nets in Base 64
(6, 6+44, 128)-Net over F64 — Constructive and digital
Digital (6, 50, 128)-net over F64, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
(6, 6+44, 161)-Net over F64 — Digital
Digital (6, 50, 161)-net over F64, using
- net from sequence [i] based on digital (6, 160)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 6 and N(F) ≥ 161, using
(6, 6+44, 1819)-Net in Base 64 — Upper bound on s
There is no (6, 50, 1820)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 2 055957 950271 168271 876427 286474 195668 603328 740520 661727 582344 314499 537724 448940 268548 219834 > 6450 [i]