Best Known (10, 75, s)-Nets in Base 25
(10, 75, 126)-Net over F25 — Constructive and digital
Digital (10, 75, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
(10, 75, 893)-Net in Base 25 — Upper bound on s
There is no (10, 75, 894)-net in base 25, because
- 1 times m-reduction [i] would yield (10, 74, 894)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 28 026103 975058 374596 097308 392015 608973 147210 592645 279319 662193 700416 310374 801810 621947 471943 153179 416065 > 2574 [i]