Information on Result #568471
There is no linear OOA(345, 56, F3, 3, 30) (dual of [(56, 3), 123, 31]-NRT-code), because 2 times depth reduction would yield linear OA(345, 56, F3, 30) (dual of [56, 11, 31]-code), but
- construction Y1 [i] would yield
- linear OA(344, 50, F3, 30) (dual of [50, 6, 31]-code), but
- “HJL†bound on codes from Brouwer’s database [i]
- OA(311, 56, 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
- linear OA(344, 50, F3, 30) (dual of [50, 6, 31]-code), 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.