Best Known (35, 35+57, s)-Nets in Base 25
(35, 35+57, 208)-Net over F25 — Constructive and digital
Digital (35, 92, 208)-net over F25, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
(35, 35+57, 16432)-Net in Base 25 — Upper bound on s
There is no (35, 92, 16433)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 91, 16433)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 16 318943 027193 170289 191319 688378 785892 572538 881674 258402 428034 907696 306377 456832 777194 721563 522207 552648 601581 311494 505340 960545 > 2591 [i]