MinT - Information on Result #947629

Information on Result #947629

Linear OOA(2¹⁰⁸, 53, F₂, 3, 35) (dual of [(53, 3), 51, 36]-NRT-code), using OOA 3-folding based on linear OA(2¹⁰⁸, 159, F₂, 35) (dual of [159, 51, 36]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁰⁸, 160, F₂, 35) (dual of [160, 52, 36]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁹, 32, F₁₆, 17) (dual of [32, 13, 18]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁹, 33, F₁₆, 17) (dual of [33, 14, 18]-code), using
      - extended algebraic-geometric code AG_e(F,15P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
        a function field by SÃ©mirat [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.