MinT - Information on Result #629291

Information on Result #629291

Linear OA(2¹¹³, 147, F₂, 33) (dual of [147, 34, 34]-code), using concatenation of two codes based on

linear OA(4³², 49, F₄, 16) (dual of [49, 17, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4³², 59, F₄, 16) (dual of [59, 27, 17]-code), using
  - 6 times truncation [i] based on linear OA(4³⁸, 65, F₄, 22) (dual of [65, 27, 23]-code), using
    - the BCH-code C(I) with length 65Â | 4⁶âˆ’1, defining interval IÂ =Â {1,4,7,…,64}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [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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