Best Known (49−47, 49, s)-Nets in Base 27
(49−47, 49, 48)-Net over F27 — Constructive and digital
Digital (2, 49, 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
(49−47, 49, 203)-Net in Base 27 — Upper bound on s
There is no (2, 49, 204)-net in base 27, because
- extracting embedded orthogonal array [i] would yield OA(2749, 204, S27, 47), but
- the linear programming bound shows that M ≥ 44445 526432 553148 551803 587352 645711 159091 434363 391143 128643 749994 239134 847577 444125 / 3 214315 016317 > 2749 [i]