Information on Result #547737
There is no linear OA(322, 34, F3, 15) (dual of [34, 12, 16]-code), because construction Y1 would yield
- linear OA(321, 26, F3, 15) (dual of [26, 5, 16]-code), but
- construction Y1 [i] would yield
- OA(320, 23, S3, 15), but
- the (dual) Plotkin bound shows that M ≥ 31381 059609 / 8 > 320 [i]
- linear OA(35, 26, F3, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,3)), but
- discarding factors / shortening the dual code would yield linear OA(35, 21, F3, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), but
- OA(320, 23, S3, 15), but
- construction Y1 [i] would yield
- OA(312, 34, S3, 8), but
- discarding factors would yield OA(312, 31, S3, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 541323 > 312 [i]
- discarding factors would yield OA(312, 31, S3, 8), 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.