Best Known (55−48, 55, s)-Nets in Base 9
(55−48, 55, 36)-Net over F9 — Constructive and digital
Digital (7, 55, 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
(55−48, 55, 40)-Net over F9 — Digital
Digital (7, 55, 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
(55−48, 55, 119)-Net in Base 9 — Upper bound on s
There is no (7, 55, 120)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(955, 120, S9, 48), but
- the linear programming bound shows that M ≥ 360 004045 721466 274093 607747 393716 781605 406344 774499 780678 565310 266479 303778 167775 896835 107733 798475 012120 141227 / 11415 342566 011885 902118 690347 888315 230825 616857 656499 664811 > 955 [i]