MinT - Information on Result #629524

Information on Result #629524

Linear OA(2¹⁶¹, 212, F₂, 49) (dual of [212, 51, 50]-code), using concatenation of two codes based on

linear OA(8³⁶, 53, F₈, 24) (dual of [53, 17, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8³⁶, 61, F₈, 24) (dual of [61, 25, 25]-code), using
  - 4 times truncation [i] based on 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]
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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