Information on Result #568459
There is no linear OOA(343, 53, F3, 3, 29) (dual of [(53, 3), 116, 30]-NRT-code), because 1 times depth reduction would yield linear OOA(343, 53, F3, 2, 29) (dual of [(53, 2), 63, 30]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(342, 53, F3, 28) (dual of [53, 11, 29]-code), but
- construction Y1 [i] would yield
- linear OA(341, 47, F3, 28) (dual of [47, 6, 29]-code), but
- OA(311, 53, S3, 6), but
- discarding factors would yield OA(311, 52, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 182209 > 311 [i]
- discarding factors would yield OA(311, 52, S3, 6), but
- construction Y1 [i] would yield
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.