MinT - Information on Result #1052597

Information on Result #1052597

Linear OOA(2⁶⁸, 30, F₂, 4, 22) (dual of [(30, 4), 52, 23]-NRT-code), using OOA 2-folding based on linear OOA(2⁶⁸, 60, F₂, 2, 22) (dual of [(60, 2), 52, 23]-NRT-code), using

strength reduction [i] based on linear OOA(2⁶⁸, 60, F₂, 2, 23) (dual of [(60, 2), 52, 24]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16¹¹, 12, F₁₆, 2, 11) (dual of [(12, 2), 13, 12]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16¹¹, 16, F₁₆, 2, 11) (dual of [(16, 2), 21, 12]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;21,16) [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.

Other Results with Identical Parameters

None.

Depending Results

None.