MinT - Information on Result #828501

Information on Result #828501

Linear OOA(4¹²⁹, 91, F₄, 2, 57) (dual of [(91, 2), 53, 58]-NRT-code), using OOA 2-folding based on linear OA(4¹²⁹, 182, F₄, 57) (dual of [182, 53, 58]-code), using

discarding factors / shortening the dual code based on linear OA(4¹²⁹, 183, F₄, 57) (dual of [183, 54, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³⁴, 61, F₁₆, 28) (dual of [61, 27, 29]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³⁴, 64, F₁₆, 28) (dual of [64, 30, 29]-code), using
      - algebraic-geometric code AG(F,35P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [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.