MinT - Information on Result #806177

Information on Result #806177

Linear OOA(2⁴¹, 26, F₂, 2, 18) (dual of [(26, 2), 11, 19]-NRT-code), using OOA 2-folding based on linear OA(2⁴¹, 52, F₂, 18) (dual of [52, 11, 19]-code), using

discarding factors / shortening the dual code based on linear OA(2⁴¹, 53, F₂, 18) (dual of [53, 12, 19]-code), using
- 1 times truncation [i] based on linear OA(2⁴², 54, F₂, 19) (dual of [54, 12, 20]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(4¹², 18, F₄, 9) (dual of [18, 6, 10]-code), using
      - a quaternary quasi-twisted code of dimension 6 by Gulliver and Ã–stergÃ¥rd [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.

Other Results with Identical Parameters

None.

Depending Results

None.