MinT - Information on Result #838898

Information on Result #838898

Linear OOA(5¹¹⁹, 82, F₅, 2, 57) (dual of [(82, 2), 45, 58]-NRT-code), using OOA 2-folding based on linear OA(5¹¹⁹, 164, F₅, 57) (dual of [164, 45, 58]-code), using

discarding factors / shortening the dual code based on linear OA(5¹¹⁹, 165, F₅, 57) (dual of [165, 46, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25³², 55, F₂₅, 28) (dual of [55, 23, 29]-code), using
    - discarding factors / shortening the dual code based on linear OA(25³², 65, F₂₅, 28) (dual of [65, 33, 29]-code), using
      - algebraic-geometric code AG(F,36P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 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.