MinT - Information on Result #629375

Information on Result #629375

Linear OA(2¹⁵⁸, 186, F₂, 57) (dual of [186, 28, 58]-code), using concatenation of two codes based on

linear OA(4⁴⁸, 62, F₄, 28) (dual of [62, 14, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁴⁸, 63, F₄, 28) (dual of [63, 15, 29]-code), using
  - 2 times truncation [i] based on linear OA(4⁵⁰, 65, F₄, 30) (dual of [65, 15, 31]-code), using
    - contraction [i] based on linear OA(4¹⁸⁰, 195, F₄, 92) (dual of [195, 15, 93]-code), using the BCH-code C(I) with length 195Â | 4⁶âˆ’1, defining interval IÂ =Â {52,53,…,143}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 93 [i]
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.

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