MinT - Information on Result #1380606

Information on Result #1380606

Linear OOA(16¹⁰⁵, 98, F₁₆, 2, 70) (dual of [(98, 2), 91, 71]-NRT-code), using OOA 2-folding based on linear OA(16¹⁰⁵, 196, F₁₆, 70) (dual of [196, 91, 71]-code), using

discarding factors / shortening the dual code based on linear OA(16¹⁰⁵, 197, F₁₆, 70) (dual of [197, 92, 71]-code), using
- constructionÂ X applied to AG(F,121P) âŠ‚ AG(F,124P) [i] based on
  1. linear OA(16¹⁰³, 192, F₁₆, 70) (dual of [192, 89, 71]-code), using algebraic-geometric code AG(F,121P) [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(16¹⁰⁰, 192, F₁₆, 67) (dual of [192, 92, 68]-code), using algebraic-geometric code AG(F,124P) [i] based on function field F/F₁₆ with g(F) = 33 and N(F) ≥ 193 (see above)
  3. linear OA(16², 5, F₁₆, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,16)), using
    - discarding factors / shortening the dual code based on linear OA(16², 16, F₁₆, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
      - Reedâ€“Solomon code RS(14,16) [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.