Best Known (39−22, 39, s)-Nets in Base 5
(39−22, 39, 42)-Net over F5 — Constructive and digital
Digital (17, 39, 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
(39−22, 39, 361)-Net in Base 5 — Upper bound on s
There is no (17, 39, 362)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1852 362154 892335 308334 105929 > 539 [i]