Best Known (5, 83, s)-Nets in Base 16
(5, 83, 49)-Net over F16 — Constructive and digital
Digital (5, 83, 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, 83, 122)-Net in Base 16 — Upper bound on s
There is no (5, 83, 123)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1683, 123, S16, 78), but
- the linear programming bound shows that M ≥ 2 727020 058504 156489 372553 555591 510346 476843 723185 493619 417295 683001 195899 321633 893218 842115 852561 988428 076316 330102 358016 / 310 122536 311587 659391 > 1683 [i]