Information on Result #569451
There is no linear OOA(3128, 176, F3, 3, 81) (dual of [(176, 3), 400, 82]-NRT-code), because 2 times depth reduction 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.