Information on Result #599008
There is no digital (47, 128, 176)-net over F3, because extracting embedded orthogonal array would yield linear OA(3128, 176, F3, 81) (dual of [176, 48, 82]-code), but
- construction Y1 [i] would yield
- OA(3127, 150, S3, 81), but
- the linear programming bound shows that M ≥ 34 591649 218027 645930 654651 997419 100907 498551 201171 263936 373038 687154 245563 / 8 746966 630402 > 3127 [i]
- OA(348, 176, S3, 26), but
- discarding factors would yield OA(348, 170, S3, 26), but
- the Rao or (dual) Hamming bound shows that M ≥ 84876 685847 451322 200873 > 348 [i]
- discarding factors would yield OA(348, 170, S3, 26), but
- OA(3127, 150, S3, 81), 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.