Best Known (6, 6+86, s)-Nets in Base 16
(6, 6+86, 65)-Net over F16 — Constructive and digital
Digital (6, 92, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
(6, 6+86, 149)-Net in Base 16 — Upper bound on s
There is no (6, 92, 150)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1692, 150, S16, 86), but
- the linear programming bound shows that M ≥ 12031 137267 378892 329155 285456 647075 057108 626777 596983 638748 250457 866812 987913 402352 080242 238604 324072 106244 213477 749401 038923 844692 510422 672559 046656 / 19 449084 721978 006627 250557 272778 907941 > 1692 [i]