MinT - Information on Result #2423792

Information on Result #2423792

Linear OOA(2¹⁹⁴, 175, F₂, 2, 56) (dual of [(175, 2), 156, 57]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁴, 175, F₂, 2, 57) (dual of [(175, 2), 156, 58]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16³¹, 35, F₁₆, 2, 28) (dual of [(35, 2), 39, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16³¹, 38, F₁₆, 2, 28) (dual of [(38, 2), 45, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,47P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, 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.