MinT - Information on Result #1100439

Information on Result #1100439

Linear OOA(2²³⁹, 50, F₂, 5, 116) (dual of [(50, 5), 11, 117]-NRT-code), using OOA 5-folding based on linear OA(2²³⁹, 250, F₂, 116) (dual of [250, 11, 117]-code), using

discarding factors / shortening the dual code based on linear OA(2²³⁹, 251, F₂, 116) (dual of [251, 12, 117]-code), using
- 1 times truncation [i] based on linear OA(2²⁴⁰, 252, F₂, 117) (dual of [252, 12, 118]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(4⁷⁸, 84, F₄, 58) (dual of [84, 6, 59]-code), using
      - 1 times truncation [i] based on linear OA(4⁷⁹, 85, F₄, 59) (dual of [85, 6, 60]-code), using
        the BCH-code C(I) with length 85Â | 4⁴âˆ’1, defining interval IÂ =Â {−4,2,8,…,4}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 60 [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.