Information on Result #547766
There is no linear OA(3121, 129, F3, 81) (dual of [129, 8, 82]-code), because construction Y1 would yield
- linear OA(3120, 125, F3, 81) (dual of [125, 5, 82]-code), but
- OA(38, 129, 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.