MinT - Information on Result #806511

Information on Result #806511

Linear OOA(2⁵⁷, 43, F₂, 2, 21) (dual of [(43, 2), 29, 22]-NRT-code), using OOA 2-folding based on linear OA(2⁵⁷, 86, F₂, 21) (dual of [86, 29, 22]-code), using

discarding factors / shortening the dual code based on linear OA(2⁵⁷, 87, F₂, 21) (dual of [87, 30, 22]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4¹⁴, 29, F₄, 10) (dual of [29, 15, 11]-code), using
    - 1 times truncation [i] based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code), using
      - extended quadratic residue code Q_e(30,4) [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.