MinT - Information on Result #806281

Information on Result #806281

Linear OOA(2³⁷, 22, F₂, 2, 19) (dual of [(22, 2), 7, 20]-NRT-code), using OOA 2-folding based on linear OA(2³⁷, 44, F₂, 19) (dual of [44, 7, 20]-code), using

discarding factors / shortening the dual code based on linear OA(2³⁷, 45, F₂, 19) (dual of [45, 8, 20]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4¹¹, 15, F₄, 9) (dual of [15, 4, 10]-code), using
    - 2 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 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.