Best Known (63−58, 63, s)-Nets in Base 16
(63−58, 63, 49)-Net over F16 — Constructive and digital
Digital (5, 63, 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
(63−58, 63, 209)-Net in Base 16 — Upper bound on s
There is no (5, 63, 210)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1663, 210, S16, 58), but
- the linear programming bound shows that M ≥ 122 600872 493649 393319 484703 818591 621506 641480 876126 404933 857080 325519 975626 387608 819677 513375 810207 924477 675599 560704 / 16238 551342 924342 041531 482298 887222 269393 > 1663 [i]