Best Known (30, 30+22, s)-Nets in Base 5
(30, 30+22, 132)-Net over F5 — Constructive and digital
Digital (30, 52, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 26, 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
(30, 30+22, 2464)-Net in Base 5 — Upper bound on s
There is no (30, 52, 2465)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 2 220594 151695 071923 801747 264672 861021 > 552 [i]