Best Known (7, 7+30, s)-Nets in Base 25
(7, 7+30, 66)-Net over F25 — Constructive and digital
Digital (7, 37, 66)-net over F25, using
- t-expansion [i] based on digital (4, 37, 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+30, 743)-Net in Base 25 — Upper bound on s
There is no (7, 37, 744)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 5327 548495 362717 177490 839186 531021 940860 337307 335489 > 2537 [i]