MinT - Information on Result #2470884

Information on Result #2470884

Linear OOA(4¹¹³, 77, F₄, 2, 58) (dual of [(77, 2), 41, 59]-NRT-code), using 1 step truncation based on linear OOA(4¹¹⁴, 78, F₄, 2, 59) (dual of [(78, 2), 42, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16³¹, 26, F₁₆, 2, 29) (dual of [(26, 2), 21, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16³¹, 33, F₁₆, 2, 29) (dual of [(33, 2), 35, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,36P) [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(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.