MinT - Information on Result #1059044

Information on Result #1059044

Linear OOA(2²²⁰, 57, F₂, 4, 132) (dual of [(57, 4), 8, 133]-NRT-code), using OOA 2-folding based on linear OOA(2²²⁰, 114, F₂, 2, 132) (dual of [(114, 2), 8, 133]-NRT-code), using

strength reduction [i] based on linear OOA(2²²⁰, 114, F₂, 2, 134) (dual of [(114, 2), 8, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4³⁴, 38, F₄, 26) (dual of [38, 4, 27]-code), using
    - discarding factors / shortening the dual code based on linear OA(4³⁴, 39, F₄, 26) (dual of [39, 5, 27]-code), using
      - 1 times truncation [i] based on linear OA(4³⁵, 40, F₄, 27) (dual of [40, 5, 28]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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.