Best Known (35, 35+67, s)-Nets in Base 25
(35, 35+67, 208)-Net over F25 — Constructive and digital
Digital (35, 102, 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+67, 10398)-Net in Base 25 — Upper bound on s
There is no (35, 102, 10399)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 101, 10399)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1559 280665 016598 362657 496858 205478 838315 048317 339484 470196 575509 818708 125998 624359 505921 654483 998366 802366 312221 268469 175982 464056 249715 289065 > 25101 [i]