MinT - Information on Result #564728

Information on Result #564728

There is no linear OOA(27⁵¹, 81, F₂₇, 2, 50) (dual of [(81, 2), 111, 51]-NRT-code), because 23 step m-reduction would yield linear OA(27²⁸, 81, F₂₇, 27) (dual of [81, 53, 28]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(27⁵³, 81, F₂₇, 52) (dual of [81, 28, 53]-code), but
- discarding factors / shortening the dual code would yield linear OA(27⁵³, 56, F₂₇, 52) (dual of [56, 3, 53]-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.