Best Known (40−31, 40, s)-Nets in Base 25
(40−31, 40, 104)-Net over F25 — Constructive and digital
Digital (9, 40, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
(40−31, 40, 1146)-Net in Base 25 — Upper bound on s
There is no (9, 40, 1147)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 39, 1147)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 3 335919 615840 794443 964615 690929 716866 976826 138907 984761 > 2539 [i]