MinT - Information on Result #949485

Information on Result #949485

Linear OOA(2¹⁸⁴, 86, F₂, 3, 56) (dual of [(86, 3), 74, 57]-NRT-code), using OOA 3-folding based on linear OA(2¹⁸⁴, 258, F₂, 56) (dual of [258, 74, 57]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁴, 259, F₂, 56) (dual of [259, 75, 57]-code), using
- 1 times truncation [i] based on linear OA(2¹⁸⁵, 260, F₂, 57) (dual of [260, 75, 58]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(8⁴⁰, 65, F₈, 28) (dual of [65, 25, 29]-code), using
      - the BCH-code C(I) with length 65Â | 8⁴âˆ’1, defining interval IÂ =Â {−8,−5,−2,…,8}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
    2. linear OA(2¹, 4, F₂, 1) (dual of [4, 3, 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.