MinT - Information on Result #808259

Information on Result #808259

Linear OOA(2⁷³, 40, F₂, 2, 37) (dual of [(40, 2), 7, 38]-NRT-code), using OOA 2-folding based on linear OA(2⁷³, 80, F₂, 37) (dual of [80, 7, 38]-code), using

discarding factors / shortening the dual code based on linear OA(2⁷³, 81, F₂, 37) (dual of [81, 8, 38]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4²³, 27, F₄, 18) (dual of [27, 4, 19]-code), using
    - 1 times truncation [i] based on linear OA(4²⁴, 28, F₄, 19) (dual of [28, 4, 20]-code), using
      - an explicit generator matrix [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.