Best Known (2, 32, s)-Nets in Base 25
(2, 32, 28)-Net over F25 — Constructive and digital
Digital (2, 32, 28)-net over F25, using
- net from sequence [i] based on digital (2, 27)-sequence over F25, using
(2, 32, 46)-Net over F25 — Digital
Digital (2, 32, 46)-net over F25, using
- net from sequence [i] based on digital (2, 45)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 2 and N(F) ≥ 46, using
(2, 32, 215)-Net in Base 25 — Upper bound on s
There is no (2, 32, 216)-net in base 25, because
- 14 times m-reduction [i] would yield (2, 18, 216)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 14 881355 721034 799302 301185 > 2518 [i]