Best Known (5, 5+12, s)-Nets in Base 25
(5, 5+12, 66)-Net over F25 — Constructive and digital
Digital (5, 17, 66)-net over F25, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(5, 5+12, 1137)-Net in Base 25 — Upper bound on s
There is no (5, 17, 1138)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 584889 192081 804609 322849 > 2517 [i]