Best Known (31−20, 31, s)-Nets in Base 5
(31−20, 31, 32)-Net over F5 — Constructive and digital
Digital (11, 31, 32)-net over F5, using
- net from sequence [i] based on digital (11, 31)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, using
(31−20, 31, 159)-Net in Base 5 — Upper bound on s
There is no (11, 31, 160)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 4844 149043 097837 873665 > 531 [i]