Best Known (28, 28+20, s)-Nets in Base 5
(28, 28+20, 132)-Net over F5 — Constructive and digital
Digital (28, 48, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 24, 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
(28, 28+20, 2557)-Net in Base 5 — Upper bound on s
There is no (28, 48, 2558)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 3562 038291 038508 044003 489694 245505 > 548 [i]