Best Known (8, 55, s)-Nets in Base 9
(8, 55, 40)-Net over F9 — Constructive and digital
Digital (8, 55, 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, 55, 42)-Net over F9 — Digital
Digital (8, 55, 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, 55, 157)-Net in Base 9 — Upper bound on s
There is no (8, 55, 158)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(955, 158, S9, 47), but
- the linear programming bound shows that M ≥ 27 516517 570459 513707 486584 031098 755878 872286 006461 516873 558700 726365 312434 538587 806534 314675 415935 963121 093750 / 855 756907 174566 212251 225064 996234 802837 938524 697869 366393 > 955 [i]