MinT - Information on Result #1380558

Information on Result #1380558

Linear OOA(16⁹⁹, 99, F₁₆, 2, 63) (dual of [(99, 2), 99, 64]-NRT-code), using OOA 2-folding based on linear OA(16⁹⁹, 198, F₁₆, 63) (dual of [198, 99, 64]-code), using

discarding factors / shortening the dual code based on linear OA(16⁹⁹, 199, F₁₆, 63) (dual of [199, 100, 64]-code), using
- constructionÂ X applied to AG(F,128P) âŠ‚ AG(F,132P) [i] based on
  1. linear OA(16⁹⁶, 192, F₁₆, 63) (dual of [192, 96, 64]-code), using algebraic-geometric code AG(F,128P) [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(16⁹², 192, F₁₆, 59) (dual of [192, 100, 60]-code), using algebraic-geometric code AG(F,132P) [i] based on function field F/F₁₆ with g(F) = 33 and N(F) ≥ 193 (see above)
  3. linear OA(16³, 7, F₁₆, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-cap in PG(2,16)), using
    - discarding factors / shortening the dual code based on linear OA(16³, 16, F₁₆, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
      - Reedâ€“Solomon code RS(13,16) [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.