MinT - Information on Result #812108

Information on Result #812108

Linear OOA(2²⁵⁵, 141, F₂, 2, 107) (dual of [(141, 2), 27, 108]-NRT-code), using OOA 2-folding based on linear OA(2²⁵⁵, 282, F₂, 107) (dual of [282, 27, 108]-code), using

constructionÂ X applied to C₂ âŠ‚ C₁ [i] based on
1. linear OA(2²³⁵, 255, F₂, 111) (dual of [255, 20, 112]-code), using code C₂ for uÂ =Â 8 by de Boer and Brouwer [i]
2. linear OA(2²²⁷, 255, F₂, 95) (dual of [255, 28, 96]-code), using code C₁ for uÂ =Â 8 by de Boer and Brouwer [i]
3. linear OA(2²⁰, 27, F₂, 11) (dual of [27, 7, 12]-code), using
  - residual code [i] based on linear OA(2⁴³, 51, F₂, 23) (dual of [51, 8, 24]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
        projective code from ovoid in PG(3,Â 4) [i]
      2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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.