MinT - Information on Result #860010

Information on Result #860010

Linear OOA(16¹²¹, 119, F₁₆, 2, 74) (dual of [(119, 2), 117, 75]-NRT-code), using OOA 2-folding based on linear OA(16¹²¹, 238, F₁₆, 74) (dual of [238, 117, 75]-code), using

discarding factors / shortening the dual code based on linear OA(16¹²¹, 239, F₁₆, 74) (dual of [239, 118, 75]-code), using
- constructionÂ X applied to AG(F,149P) âŠ‚ AG(F,157P) [i] based on
  1. linear OA(16¹¹⁴, 224, F₁₆, 74) (dual of [224, 110, 75]-code), using algebraic-geometric code AG(F,149P) [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(16¹⁰⁶, 224, F₁₆, 66) (dual of [224, 118, 67]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225 (see above)
  3. linear OA(16⁷, 15, F₁₆, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
      - Reedâ€“Solomon code RS(9,16) [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.