MinT - Information on Result #2164372

Information on Result #2164372

There is no linear OA(4¹⁸⁹, 197, F₄, 143) (dual of [197, 8, 144]-code), because 1 times truncation would yield linear OA(4¹⁸⁸, 196, F₄, 142) (dual of [196, 8, 143]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(4¹⁸⁷, 192, F₄, 142) (dual of [192, 5, 143]-code), but
  - the linear programming bound with additional constraints on the weights [i]
2. OA(4⁸, 196, S₄, 4), but
  - discarding factors would yield OA(4⁸, 121, S₄, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 65704 > 4⁸ [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.