MinT - Information on Result #860286

Information on Result #860286

Linear OOA(16¹²⁷, 117, F₁₆, 2, 82) (dual of [(117, 2), 107, 83]-NRT-code), using OOA 2-folding based on linear OA(16¹²⁷, 234, F₁₆, 82) (dual of [234, 107, 83]-code), using

discarding factors / shortening the dual code based on linear OA(16¹²⁷, 235, F₁₆, 82) (dual of [235, 108, 83]-code), using
- constructionÂ X applied to AG(F,141P) âŠ‚ AG(F,147P) [i] based on
  1. linear OA(16¹²², 224, F₁₆, 82) (dual of [224, 102, 83]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(16¹¹⁶, 224, F₁₆, 76) (dual of [224, 108, 77]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225 (see above)
  3. linear OA(16⁵, 11, F₁₆, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁵, 16, F₁₆, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
      - Reedâ€“Solomon code RS(11,16) [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.