MinT - Information on Result #857113

Information on Result #857113

Linear OOA(16³⁸, 39, F₁₆, 2, 25) (dual of [(39, 2), 40, 26]-NRT-code), using OOA 2-folding based on linear OA(16³⁸, 78, F₁₆, 25) (dual of [78, 40, 26]-code), using

discarding factors / shortening the dual code based on linear OA(16³⁸, 79, F₁₆, 25) (dual of [79, 41, 26]-code), using
- constructionÂ X applied to AG(F,38P) âŠ‚ AG(F,46P) [i] based on
  1. linear OA(16³¹, 64, F₁₆, 25) (dual of [64, 33, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
  2. linear OA(16²³, 64, F₁₆, 17) (dual of [64, 41, 18]-code), using algebraic-geometric code AG(F,46P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (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.