Best Known (8, 41, s)-Nets in Base 9
(8, 41, 40)-Net over F9 — Constructive and digital
Digital (8, 41, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
(8, 41, 42)-Net over F9 — Digital
Digital (8, 41, 42)-net over F9, using
- net from sequence [i] based on digital (8, 41)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 42, using
(8, 41, 196)-Net in Base 9 — Upper bound on s
There is no (8, 41, 197)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(941, 197, S9, 33), but
- the linear programming bound shows that M ≥ 1013 479413 825234 371773 359759 606386 624936 530891 109932 707648 396762 495276 658970 832000 / 761690 415813 422903 667746 120708 120962 773589 > 941 [i]