Best Known (74−33, 74, s)-Nets in Base 25
(74−33, 74, 288)-Net over F25 — Constructive and digital
Digital (41, 74, 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
(74−33, 74, 927)-Net over F25 — Digital
Digital (41, 74, 927)-net over F25, using
(74−33, 74, 676742)-Net in Base 25 — Upper bound on s
There is no (41, 74, 676743)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 73, 676743)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1 121048 710595 153732 080504 700690 327985 500998 316150 023879 377782 985170 345996 394268 326311 544894 052229 206657 > 2573 [i]