Best Known (50, 50+42, s)-Nets in Base 5
(50, 50+42, 132)-Net over F5 — Constructive and digital
Digital (50, 92, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 46, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(50, 50+42, 133)-Net over F5 — Digital
Digital (50, 92, 133)-net over F5, using
(50, 50+42, 2488)-Net in Base 5 — Upper bound on s
There is no (50, 92, 2489)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 20278 017630 622808 572069 483201 126174 077107 630630 052319 289790 120405 > 592 [i]