Best Known (61−56, 61, s)-Nets in Base 16
(61−56, 61, 49)-Net over F16 — Constructive and digital
Digital (5, 61, 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
(61−56, 61, 210)-Net in Base 16 — Upper bound on s
There is no (5, 61, 211)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1661, 211, S16, 56), but
- the linear programming bound shows that M ≥ 32 278099 683639 236628 237312 218276 002750 791664 698142 992319 885602 607633 808420 918281 201914 476954 174505 831366 656000 / 1 141014 675478 982812 831541 814729 731711 > 1661 [i]