Best Known (42, 92, s)-Nets in Base 25
(42, 92, 288)-Net over F25 — Constructive and digital
Digital (42, 92, 288)-net over F25, using
- t-expansion [i] based on digital (41, 92, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
(42, 92, 330)-Net over F25 — Digital
Digital (42, 92, 330)-net over F25, using
(42, 92, 59120)-Net in Base 25 — Upper bound on s
There is no (42, 92, 59121)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 407 919359 644890 309575 396605 484425 869505 825482 099959 949240 311598 714747 713278 739274 536131 624495 120309 204874 990608 965010 886763 980761 > 2592 [i]