Best Known (41, 41+27, s)-Nets in Base 25
(41, 41+27, 288)-Net over F25 — Constructive and digital
Digital (41, 68, 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+27, 2005)-Net over F25 — Digital
Digital (41, 68, 2005)-net over F25, using
(41, 41+27, 3784094)-Net in Base 25 — Upper bound on s
There is no (41, 68, 3784095)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 67, 3784095)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 4591 789674 996927 193960 376455 516139 883279 064812 062137 551745 702047 588564 911154 675320 556057 870793 > 2567 [i]