Best Known (5, 41, s)-Nets in Base 64
(5, 41, 128)-Net over F64 — Constructive and digital
Digital (5, 41, 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, 41, 133)-Net over F64 — Digital
Digital (5, 41, 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, 41, 1550)-Net in Base 64 — Upper bound on s
There is no (5, 41, 1551)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 114 000463 839774 201228 450264 756162 166303 272830 301261 759669 338542 958373 546016 > 6441 [i]