MinT - Information on Result #817902

Information on Result #817902

Linear OOA(3¹³¹, 89, F₃, 2, 54) (dual of [(89, 2), 47, 55]-NRT-code), using OOA 2-folding based on linear OA(3¹³¹, 178, F₃, 54) (dual of [178, 47, 55]-code), using

discarding factors / shortening the dual code based on linear OA(3¹³¹, 179, F₃, 54) (dual of [179, 48, 55]-code), using
- 1 times truncation [i] based on linear OA(3¹³², 180, F₃, 55) (dual of [180, 48, 56]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27²⁹, 45, F₂₇, 27) (dual of [45, 16, 28]-code), using
      - discarding factors / shortening the dual code based on linear OA(27²⁹, 48, F₂₇, 27) (dual of [48, 19, 28]-code), using
        extended algebraic-geometric code AG_e(F,20P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [i]
    2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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.