MinT - Information on Result #546326

Information on Result #546326

There is no linear OA(2¹⁶⁵, 174, F₂, 84) (dual of [174, 9, 85]-code), because residual code would yield linear OA(2⁸¹, 89, F₂, 42) (dual of [89, 8, 43]-code), but

residual code [i] would yield linear OA(2³⁹, 46, F₂, 21) (dual of [46, 7, 22]-code), but
- 1 times truncation [i] would yield linear OA(2³⁸, 45, F₂, 20) (dual of [45, 7, 21]-code), but
  - residual code [i] would yield linear OA(2¹⁸, 24, F₂, 10) (dual of [24, 6, 11]-code), but
    - residual code [i] would yield linear OA(2⁸, 13, F₂, 5) (dual of [13, 5, 6]-code), but
      - 1 times truncation [i] would yield linear OA(2⁷, 12, F₂, 4) (dual of [12, 5, 5]-code), but
        bound by Fontaine and Peterson [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.