Best Known (37−20, 37, s)-Nets in Base 5
(37−20, 37, 42)-Net over F5 — Constructive and digital
Digital (17, 37, 42)-net over F5, using
- net from sequence [i] based on digital (17, 41)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using
(37−20, 37, 429)-Net in Base 5 — Upper bound on s
There is no (17, 37, 430)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 73 323041 081434 889882 498945 > 537 [i]