Best Known (42, 42+64, s)-Nets in Base 25
(42, 42+64, 288)-Net over F25 — Constructive and digital
Digital (42, 106, 288)-net over F25, using
- t-expansion [i] based on digital (41, 106, 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, 42+64, 22752)-Net in Base 25 — Upper bound on s
There is no (42, 106, 22753)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 15209 030277 450825 395701 465526 280807 322141 548250 681680 297973 356095 586418 925403 836162 425486 092214 147120 838919 591729 927720 226016 898653 002976 803338 157825 > 25106 [i]