Information on Result #599002
There is no digital (45, 120, 181)-net over F3, because extracting embedded orthogonal array would yield linear OA(3120, 181, F3, 75) (dual of [181, 61, 76]-code), but
- construction Y1 [i] would yield
- OA(3119, 147, S3, 75), but
- the linear programming bound shows that M ≥ 16 137915 552723 745131 682214 391750 091116 522557 190679 736158 328855 711764 240731 / 23372 130007 496452 > 3119 [i]
- OA(361, 181, S3, 34), but
- discarding factors would yield OA(361, 176, S3, 34), but
- the linear programming bound shows that M ≥ 812 356626 791711 438639 003017 318488 339021 708011 289038 629210 828125 / 5801 809430 490682 982977 100374 687357 > 361 [i]
- discarding factors would yield OA(361, 176, S3, 34), but
- OA(3119, 147, S3, 75), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.