Best Known (4, 4+8, s)-Nets in Base 25
(4, 4+8, 66)-Net over F25 — Constructive and digital
Digital (4, 12, 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+8, 1439)-Net in Base 25 — Upper bound on s
There is no (4, 12, 1440)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 59716 234323 072001 > 2512 [i]