MinT - Information on Result #572707

Information on Result #572707

There is no linear OOA(4⁵⁵, 35, F₄, 3, 48) (dual of [(35, 3), 50, 49]-NRT-code), because 1 times depth reduction would yield linear OOA(4⁵⁵, 35, F₄, 2, 48) (dual of [(35, 2), 15, 49]-NRT-code), but

24 step m-reduction [i] would yield linear OA(4³¹, 35, F₄, 24) (dual of [35, 4, 25]-code), but
- residual code [i] 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.