Best Known (38, 71, s)-Nets in Base 5
(38, 71, 78)-Net over F5 — Constructive and digital
Digital (38, 71, 78)-net over F5, using
- net from sequence [i] based on digital (38, 77)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
(38, 71, 103)-Net over F5 — Digital
Digital (38, 71, 103)-net over F5, using
(38, 71, 1931)-Net in Base 5 — Upper bound on s
There is no (38, 71, 1932)-net in base 5, because
- 1 times m-reduction [i] would yield (38, 70, 1932)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 8 503636 733672 664618 760945 079302 476557 273173 796865 > 570 [i]