Best Known (47, 47+40, s)-Nets in Base 25
(47, 47+40, 288)-Net over F25 — Constructive and digital
Digital (47, 87, 288)-net over F25, using
- t-expansion [i] based on digital (41, 87, 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
(47, 47+40, 862)-Net over F25 — Digital
Digital (47, 87, 862)-net over F25, using
(47, 47+40, 416987)-Net in Base 25 — Upper bound on s
There is no (47, 87, 416988)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 41 762510 682193 500122 006620 532785 152001 604694 968927 646930 175356 952263 101715 189383 006974 967297 148564 691771 395339 315616 635265 > 2587 [i]