MinT - Information on Result #576145

Information on Result #576145

There is no linear OOA(5⁵⁷, 53, F₅, 3, 48) (dual of [(53, 3), 102, 49]-NRT-code), because 1 times depth reduction would yield linear OOA(5⁵⁷, 53, F₅, 2, 48) (dual of [(53, 2), 49, 49]-NRT-code), but

8 step m-reduction [i] would yield linear OA(5⁴⁹, 53, F₅, 40) (dual of [53, 4, 41]-code), but
- residual code [i] would yield linear OA(5⁹, 12, F₅, 8) (dual of [12, 3, 9]-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.