MinT - Information on Result #2164073

Information on Result #2164073

There is no linear OA(4¹⁵⁹, 164, F₄, 121) (dual of [164, 5, 122]-code), because 1 times truncation would yield linear OA(4¹⁵⁸, 163, F₄, 120) (dual of [163, 5, 121]-code), but

residual code [i] would yield linear OA(4³⁸, 42, F₄, 30) (dual of [42, 4, 31]-code), but
- 2 times truncation [i] would yield linear OA(4³⁶, 40, F₄, 28) (dual of [40, 4, 29]-code), but
  - residual code [i] would yield linear OA(4⁸, 11, F₄, 7) (dual of [11, 3, 8]-code), but
    - improvement by Maruta on the Griesmer bound [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.