Best Known (4, 4+13, s)-Nets in Base 25
(4, 4+13, 66)-Net over F25 — Constructive and digital
Digital (4, 17, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
(4, 4+13, 663)-Net in Base 25 — Upper bound on s
There is no (4, 17, 664)-net in base 25, because
- 1 times m-reduction [i] would yield (4, 16, 664)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 23318 507181 161044 644481 > 2516 [i]