MinT - Information on Result #564270

Information on Result #564270

There is no linear OOA(25³⁸, 75, F₂₅, 2, 37) (dual of [(75, 2), 112, 38]-NRT-code), because 12 step m-reduction would yield linear OA(25²⁶, 75, F₂₅, 25) (dual of [75, 49, 26]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(25⁴⁹, 75, F₂₅, 48) (dual of [75, 26, 49]-code), but
- discarding factors / shortening the dual code would yield linear OA(25⁴⁹, 52, F₂₅, 48) (dual of [52, 3, 49]-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.