Best Known (7, 43, s)-Nets in Base 9
(7, 43, 36)-Net over F9 — Constructive and digital
Digital (7, 43, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
(7, 43, 40)-Net over F9 — Digital
Digital (7, 43, 40)-net over F9, using
- net from sequence [i] based on digital (7, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 40, using
(7, 43, 161)-Net in Base 9 — Upper bound on s
There is no (7, 43, 162)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(943, 162, S9, 36), but
- the linear programming bound shows that M ≥ 13 445546 802342 312613 959795 425659 556073 648114 381361 485176 567463 208472 109883 418358 679125 / 122 154667 456261 954881 986632 754803 869081 466402 > 943 [i]