MinT - Information on Result #572520

Information on Result #572520

There is no linear OOA(4⁶, 12, F₄, 3, 5) (dual of [(12, 3), 30, 6]-NRT-code), because 1 times depth reduction would yield linear OOA(4⁶, 12, F₄, 2, 5) (dual of [(12, 2), 18, 6]-NRT-code), but

1 step m-reduction [i] 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.

Other Results with Identical Parameters

None.

Depending Results

None.