Best Known (41, 41+45, s)-Nets in Base 25
(41, 41+45, 288)-Net over F25 — Constructive and digital
Digital (41, 86, 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
(41, 41+45, 390)-Net over F25 — Digital
Digital (41, 86, 390)-net over F25, using
(41, 41+45, 94999)-Net in Base 25 — Upper bound on s
There is no (41, 86, 95000)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 85, 95000)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 66826 413606 252979 153761 232537 374550 053797 709369 969371 940110 249415 649998 450711 143867 021338 562796 128474 109946 992399 120001 > 2585 [i]