Best Known (9, 74, s)-Nets in Base 25
(9, 74, 104)-Net over F25 — Constructive and digital
Digital (9, 74, 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
(9, 74, 806)-Net in Base 25 — Upper bound on s
There is no (9, 74, 807)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 73, 807)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1 127559 302147 862611 214871 560818 187110 520982 799772 634391 953962 554154 098206 888833 094294 554768 527481 095425 > 2573 [i]