Best Known (104−63, 104, s)-Nets in Base 25
(104−63, 104, 288)-Net over F25 — Constructive and digital
Digital (41, 104, 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
(104−63, 104, 22818)-Net in Base 25 — Upper bound on s
There is no (41, 104, 22819)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 103, 22819)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 973483 568821 895224 103101 187345 184297 514720 868570 713095 138652 717885 707771 877363 438554 488317 850862 053232 479889 289254 114952 342528 582470 566174 974777 > 25103 [i]