Best Known (7, 7+36, s)-Nets in Base 25
(7, 7+36, 66)-Net over F25 — Constructive and digital
Digital (7, 43, 66)-net over F25, using
- t-expansion [i] based on digital (4, 43, 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
(7, 7+36, 678)-Net in Base 25 — Upper bound on s
There is no (7, 43, 679)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 307863 698490 653139 780118 152813 330005 306726 006250 007130 868945 > 2543 [i]