Best Known (34−25, 34, s)-Nets in Base 25
(34−25, 34, 104)-Net over F25 — Constructive and digital
Digital (9, 34, 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
(34−25, 34, 1533)-Net in Base 25 — Upper bound on s
There is no (9, 34, 1534)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 33, 1534)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 13565 231601 679462 470791 424301 514985 274531 566145 > 2533 [i]