MinT - Information on Result #1134596

Information on Result #1134596

Linear OOA(2¹⁴⁹, 35, F₂, 6, 58) (dual of [(35, 6), 61, 59]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁴⁹, 70, F₂, 3, 58) (dual of [(70, 3), 61, 59]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁴⁹, 71, F₂, 3, 58) (dual of [(71, 3), 64, 59]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2¹⁵⁰, 72, F₂, 3, 59) (dual of [(72, 3), 66, 60]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(4³⁹, 24, F₄, 3, 29) (dual of [(24, 3), 33, 30]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(4³⁹, 26, F₄, 3, 29) (dual of [(26, 3), 39, 30]-NRT-code), using
        algebraic-geometric NRT-code AG(3;F,48P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
        an explicitly constructive algebraic function field [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.