Best Known (9, 9+57, s)-Nets in Base 25
(9, 9+57, 104)-Net over F25 — Constructive and digital
Digital (9, 66, 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+57, 813)-Net in Base 25 — Upper bound on s
There is no (9, 66, 814)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 65, 814)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 7 508361 423851 038097 298966 211002 141014 836258 443975 398080 870318 474684 984883 777153 880358 238017 > 2565 [i]