Best Known (9, 9+21, s)-Nets in Base 25
(9, 9+21, 104)-Net over F25 — Constructive and digital
Digital (9, 30, 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
(9, 9+21, 2132)-Net in Base 25 — Upper bound on s
There is no (9, 30, 2133)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 29, 2133)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 34853 896796 096239 894709 886640 583157 159025 > 2529 [i]