Best Known (50−30, 50, s)-Nets in Base 25
(50−30, 50, 148)-Net over F25 — Constructive and digital
Digital (20, 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
(50−30, 50, 171)-Net over F25 — Digital
Digital (20, 50, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(50−30, 50, 12220)-Net in Base 25 — Upper bound on s
There is no (20, 50, 12221)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 7894 648857 987703 283428 631650 282749 255199 285909 345494 199350 764081 337481 > 2550 [i]