Best Known (2, 47, s)-Nets in Base 27
(2, 47, 48)-Net over F27 — Constructive and digital
Digital (2, 47, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
(2, 47, 204)-Net in Base 27 — Upper bound on s
There is no (2, 47, 205)-net in base 27, because
- extracting embedded orthogonal array [i] would yield OA(2747, 205, S27, 45), but
- the linear programming bound shows that M ≥ 113487 692928 681005 740327 021988 882047 665664 922335 740996 167610 589817 706401 138356 444308 / 5988 523057 406269 > 2747 [i]