Best Known (27−23, 27, s)-Nets in Base 25
(27−23, 27, 66)-Net over F25 — Constructive and digital
Digital (4, 27, 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
(27−23, 27, 406)-Net in Base 25 — Upper bound on s
There is no (4, 27, 407)-net in base 25, because
- 1 times m-reduction [i] would yield (4, 26, 407)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 2 239452 817372 727020 061427 937570 342585 > 2526 [i]