Best Known (2, 42, s)-Nets in Base 27
(2, 42, 48)-Net over F27 — Constructive and digital
Digital (2, 42, 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, 42, 210)-Net in Base 27 — Upper bound on s
There is no (2, 42, 211)-net in base 27, because
- extracting embedded orthogonal array [i] would yield OA(2742, 211, S27, 40), but
- the linear programming bound shows that M ≥ 416551 035669 216921 625178 088252 139912 571286 222526 425117 862298 562017 098428 819000 / 311962 179449 329883 > 2742 [i]