Best Known (17−13, 17, s)-Nets in Base 5
(17−13, 17, 18)-Net over F5 — Constructive and digital
Digital (4, 17, 18)-net over F5, using
- net from sequence [i] based on digital (4, 17)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
(17−13, 17, 50)-Net in Base 5 — Upper bound on s
There is no (4, 17, 51)-net in base 5, because
- 1 times m-reduction [i] would yield (4, 16, 51)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 155608 930025 > 516 [i]