Best Known (5, 5+62, s)-Nets in Base 16
(5, 5+62, 49)-Net over F16 — Constructive and digital
Digital (5, 67, 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, 5+62, 187)-Net in Base 16 — Upper bound on s
There is no (5, 67, 188)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1667, 188, S16, 62), but
- the linear programming bound shows that M ≥ 2 169197 552255 584052 135934 988170 242527 259711 431637 684359 791722 623686 452288 535683 343356 434575 407798 806265 575503 774932 271104 / 4447 952340 688128 835457 521383 314791 044849 > 1667 [i]