MinT - Information on Result #629572

Information on Result #629572

Linear OA(2¹⁸⁰, 204, F₂, 67) (dual of [204, 24, 68]-code), using concatenation of two codes based on

linear OA(8⁴³, 51, F₈, 33) (dual of [51, 8, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8⁴³, 52, F₈, 33) (dual of [52, 9, 34]-code), using
  - 13 times truncation [i] based on linear OA(8⁵⁶, 65, F₈, 46) (dual of [65, 9, 47]-code), using
    - the BCH-code C(I) with length 65Â | 8⁴âˆ’1, defining interval IÂ =Â {5,12,19,…,−5}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 47 [i]
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.

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