Best Known (54−54, 54, s)-Nets in Base 9
(54−54, 54, 10)-Net over F9 — Constructive and digital
Digital (0, 54, 10)-net over F9, using
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 0 and N(F) ≥ 10, using
- the rational function field F9(x) [i]
- Niederreiter sequence [i]
(54−54, 54, 10)-Net in Base 9 — Upper bound on s
There is no (0, 54, 11)-net in base 9, because
- 51 times m-reduction [i] would yield (0, 3, 11)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(93, 11, S9, 3), but