MinT - Information on Result #2224748

Information on Result #2224748

Linear OA(2²¹⁴, 228, F₂, 99) (dual of [228, 14, 100]-code), using 3 times truncation based on linear OA(2²¹⁷, 231, F₂, 102) (dual of [231, 14, 103]-code), using

strength reduction [i] based on linear OA(2²¹⁷, 231, F₂, 103) (dual of [231, 14, 104]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4⁷⁰, 77, F₄, 51) (dual of [77, 7, 52]-code), using
    - BCH codes lengthened with UEP codes [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.