Best Known (16−8, 16, s)-Nets in Base 5
(16−8, 16, 52)-Net over F5 — Constructive and digital
Digital (8, 16, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 8, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
(16−8, 16, 343)-Net in Base 5 — Upper bound on s
There is no (8, 16, 344)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 153746 622465 > 516 [i]