Best Known (50−28, 50, s)-Nets in Base 25
(50−28, 50, 148)-Net over F25 — Constructive and digital
Digital (22, 50, 148)-net over F25, using
- t-expansion [i] based on digital (19, 50, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(50−28, 50, 179)-Net over F25 — Digital
Digital (22, 50, 179)-net over F25, using
(50−28, 50, 24760)-Net in Base 25 — Upper bound on s
There is no (22, 50, 24761)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 7889 373466 589941 714974 375001 359894 018432 761997 780368 216632 625073 876625 > 2550 [i]