MinT - Information on Result #585087

Information on Result #585087

There is no linear OOA(81⁸², 243, F₈₁, 4, 81) (dual of [(243, 4), 890, 82]-NRT-code), because 3 times depth reduction would yield linear OA(81⁸², 243, F₈₁, 81) (dual of [243, 161, 82]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(81¹⁶¹, 243, F₈₁, 160) (dual of [243, 82, 161]-code), but
- discarding factors / shortening the dual code would yield linear OA(81¹⁶¹, 164, F₈₁, 160) (dual of [164, 3, 161]-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.