Best Known (20, 20+64, s)-Nets in Base 25
(20, 20+64, 148)-Net over F25 — Constructive and digital
Digital (20, 84, 148)-net over F25, using
- t-expansion [i] based on digital (19, 84, 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
(20, 20+64, 171)-Net over F25 — Digital
Digital (20, 84, 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
(20, 20+64, 2473)-Net in Base 25 — Upper bound on s
There is no (20, 84, 2474)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 2688 276282 324681 898097 404161 222331 030294 574763 817211 379653 314424 947644 447413 185427 285960 556239 909453 456790 039509 598721 > 2584 [i]