MinT - Information on Result #577902

Information on Result #577902

There is no linear OOA(49⁵⁰, 147, F₄₉, 3, 49) (dual of [(147, 3), 391, 50]-NRT-code), because 2 times depth reduction would yield linear OA(49⁵⁰, 147, F₄₉, 49) (dual of [147, 97, 50]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(49⁹⁷, 147, F₄₉, 96) (dual of [147, 50, 97]-code), but
- discarding factors / shortening the dual code would yield linear OA(49⁹⁷, 100, F₄₉, 96) (dual of [100, 3, 97]-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.