Best Known (0, 57, s)-Nets in Base 27
(0, 57, 28)-Net over F27 — Constructive and digital
Digital (0, 57, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
(0, 57, 28)-Net in Base 27 — Upper bound on s
There is no (0, 57, 29)-net in base 27, because
- 54 times m-reduction [i] would yield (0, 3, 29)-net in base 27, but
- extracting embedded orthogonal array [i] would yield OA(273, 29, S27, 3), but