Best Known (7, 7+25, s)-Nets in Base 64
(7, 7+25, 177)-Net over F64 — Constructive and digital
Digital (7, 32, 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
(7, 7+25, 3884)-Net in Base 64 — Upper bound on s
There is no (7, 32, 3885)-net in base 64, because
- 1 times m-reduction [i] would yield (7, 31, 3885)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 98 190030 427118 262552 121355 212122 824053 036580 597248 965205 > 6431 [i]