Information on Result #587902
There is no linear OOA(378, 62, F3, 5, 60) (dual of [(62, 5), 232, 61]-NRT-code), because 3 times depth reduction would yield linear OOA(378, 62, F3, 2, 60) (dual of [(62, 2), 46, 61]-NRT-code), but
- 24 step m-reduction [i] would yield linear OA(354, 62, F3, 36) (dual of [62, 8, 37]-code), but
- construction Y1 [i] would yield
- linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- OA(38, 62, S3, 4), but
- discarding factors would yield OA(38, 58, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 6729 > 38 [i]
- discarding factors would yield OA(38, 58, S3, 4), but
- linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code), 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.