MinT - Information on Result #2163770

Information on Result #2163770

There is no linear OA(4⁶, 13, F₄, 5) (dual of [13, 7, 6]-code), because 1 times truncation would yield linear OA(4⁵, 12, F₄, 4) (dual of [12, 7, 5]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(4⁷, 12, F₄, 6) (dual of [12, 5, 7]-code), but
- discarding factors / shortening the dual code would yield linear OA(4⁷, 10, F₄, 6) (dual of [10, 3, 7]-code), but
  - bound for almost-MDS-codes with dimension nÂ =Â 3 [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.