Best Known (2, 2+11, s)-Nets in Base 27
(2, 2+11, 48)-Net over F27 — Constructive and digital
Digital (2, 13, 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, 2+11, 268)-Net in Base 27 — Upper bound on s
There is no (2, 13, 269)-net in base 27, because
- 1 times m-reduction [i] would yield (2, 12, 269)-net in base 27, but
- extracting embedded orthogonal array [i] would yield OA(2712, 269, S27, 10), but
- the linear programming bound shows that M ≥ 2 890032 095349 784661 567612 348709 / 19 013155 907791 > 2712 [i]
- extracting embedded orthogonal array [i] would yield OA(2712, 269, S27, 10), but