MinT - Information on Result #2186666

Information on Result #2186666

Linear OA(2²³¹, 243, F₂, 110) (dual of [243, 12, 111]-code), using strength reduction based on linear OA(2²³¹, 243, F₂, 111) (dual of [243, 12, 112]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁷⁵, 81, F₄, 55) (dual of [81, 6, 56]-code), using
  - 4 times truncation [i] based on linear OA(4⁷⁹, 85, F₄, 59) (dual of [85, 6, 60]-code), using
    - the BCH-code C(I) with length 85Â | 4⁴âˆ’1, defining interval IÂ =Â {−4,2,8,…,4}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 60 [i]
2. 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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.