Best Known (7, 60, s)-Nets in Base 9
(7, 60, 36)-Net over F9 — Constructive and digital
Digital (7, 60, 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, 60, 40)-Net over F9 — Digital
Digital (7, 60, 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, 60, 95)-Net in Base 9 — Upper bound on s
There is no (7, 60, 96)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(960, 96, S9, 53), but
- the linear programming bound shows that M ≥ 100496 626079 811810 265836 014971 608953 301784 050886 721383 582994 287850 712938 072867 241888 127839 / 54 704004 207776 032572 884677 784671 > 960 [i]