Best Known (16−12, 16, s)-Nets in Base 5
(16−12, 16, 18)-Net over F5 — Constructive and digital
Digital (4, 16, 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
(16−12, 16, 50)-Net in Base 5 — Upper bound on s
There is no (4, 16, 51)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 155608 930025 > 516 [i]