Best Known (59−50, 59, s)-Nets in Base 7
(59−50, 59, 17)-Net over F7 — Constructive and digital
Digital (9, 59, 17)-net over F7, using
- net from sequence [i] based on digital (9, 16)-sequence over F7, using
(59−50, 59, 38)-Net over F7 — Digital
Digital (9, 59, 38)-net over F7, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
(59−50, 59, 89)-Net in Base 7 — Upper bound on s
There is no (9, 59, 90)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(759, 90, S7, 50), but
- the linear programming bound shows that M ≥ 2 731981 550972 212145 413420 652131 202674 697550 799973 669136 461674 957527 365868 352693 / 35664 960028 871389 046054 796000 > 759 [i]