Best Known (5, 50, s)-Nets in Base 16
(5, 50, 49)-Net over F16 — Constructive and digital
Digital (5, 50, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
(5, 50, 246)-Net in Base 16 — Upper bound on s
There is no (5, 50, 247)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1650, 247, S16, 45), but
- the linear programming bound shows that M ≥ 59 934124 184467 564006 756424 631098 016543 059570 592262 909014 851092 411426 062246 282183 831976 586471 981807 828992 / 36 688815 343437 188002 533756 330859 541800 297327 > 1650 [i]