Information on Result #547735
There is no linear OA(319, 31, F3, 13) (dual of [31, 12, 14]-code), because construction Y1 would yield
- linear OA(318, 23, F3, 13) (dual of [23, 5, 14]-code), but
- discarding factors / shortening the dual code would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- 1 times truncation [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- discarding factors / shortening the dual code would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- OA(312, 31, S3, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 541323 > 312 [i]
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.