MinT - Information on Result #629529

Information on Result #629529

Linear OA(2¹⁶², 204, F₂, 51) (dual of [204, 42, 52]-code), using concatenation of two codes based on

linear OA(8³⁷, 51, F₈, 25) (dual of [51, 14, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8³⁷, 62, F₈, 25) (dual of [62, 25, 26]-code), using
  - 3 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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