MinT - Information on Result #2172177

Information on Result #2172177

There is no linear OA(16¹⁹, 50, F₁₆, 18) (dual of [50, 31, 19]-code), because 2 times truncation would yield linear OA(16¹⁷, 48, F₁₆, 16) (dual of [48, 31, 17]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(16³¹, 48, F₁₆, 30) (dual of [48, 17, 31]-code), but
- discarding factors / shortening the dual code would yield linear OA(16³¹, 34, F₁₆, 30) (dual of [34, 3, 31]-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.