MinT - Information on Result #946518

Information on Result #946518

Linear OOA(2⁵⁵, 23, F₂, 3, 25) (dual of [(23, 3), 14, 26]-NRT-code), using OOA 3-folding based on linear OA(2⁵⁵, 69, F₂, 25) (dual of [69, 14, 26]-code), using

discarding factors / shortening the dual code based on linear OA(2⁵⁵, 70, F₂, 25) (dual of [70, 15, 26]-code), using
- constructionÂ X applied to C₂ âŠ‚ C₁ [i] based on
  1. linear OA(2⁵⁴, 63, F₂, 27) (dual of [63, 9, 28]-code), using code C₂ for uÂ =Â 6 by de Boer and Brouwer [i]
  2. linear OA(2⁴⁸, 63, F₂, 23) (dual of [63, 15, 24]-code), using code C₁ for uÂ =Â 6 by de Boer and Brouwer [i]
  3. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: Constructive and 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.