Best Known (35, 35+53, s)-Nets in Base 25
(35, 35+53, 208)-Net over F25 — Constructive and digital
Digital (35, 88, 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+53, 20918)-Net in Base 25 — Upper bound on s
There is no (35, 88, 20919)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 87, 20919)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 41 808609 046742 744068 920021 418450 265266 112259 515438 123309 871533 230496 885115 610022 367706 295319 175860 158157 235602 325063 805713 > 2587 [i]