Best Known (7, 7+43, s)-Nets in Base 9
(7, 7+43, 36)-Net over F9 — Constructive and digital
Digital (7, 50, 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, 7+43, 40)-Net over F9 — Digital
Digital (7, 50, 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, 7+43, 140)-Net in Base 9 — Upper bound on s
There is no (7, 50, 141)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(950, 141, S9, 43), but
- the linear programming bound shows that M ≥ 32 306601 354052 799086 437677 398622 172273 496493 718790 438489 132449 187534 673607 676230 118421 482322 307717 572325 / 59 772932 251064 628817 184596 816946 172356 214341 602500 559261 > 950 [i]