MinT - Information on Result #1380738

Information on Result #1380738

Linear OOA(16¹²³, 97, F₁₆, 2, 89) (dual of [(97, 2), 71, 90]-NRT-code), using OOA 2-folding based on linear OA(16¹²³, 194, F₁₆, 89) (dual of [194, 71, 90]-code), using

discarding factors / shortening the dual code based on linear OA(16¹²³, 195, F₁₆, 89) (dual of [195, 72, 90]-code), using
- constructionÂ X applied to AG(F,102P) âŠ‚ AG(F,104P) [i] based on
  1. linear OA(16¹²², 192, F₁₆, 89) (dual of [192, 70, 90]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F₁₆ with g(F) = 33 and N(F) ≥ 193, using
    - a curve from the manYPoints database [i]
  2. linear OA(16¹²⁰, 192, F₁₆, 87) (dual of [192, 72, 88]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F₁₆ with g(F) = 33 and N(F) ≥ 193 (see above)
  3. linear OA(16¹, 3, F₁₆, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: 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.