MinT - Information on Result #859400

Information on Result #859400

Linear OOA(16⁶⁹, 37, F₁₆, 2, 61) (dual of [(37, 2), 5, 62]-NRT-code), using OOA 2-folding based on linear OA(16⁶⁹, 74, F₁₆, 61) (dual of [74, 5, 62]-code), using

2 times truncation [i] based on linear OA(16⁷¹, 76, F₁₆, 63) (dual of [76, 5, 64]-code), using
- constructionÂ X applied to AG(F,0P) âŠ‚ AG(F,9P) [i] based on
  1. linear OA(16⁶³, 64, F₁₆, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(16⁵⁹, 64, F₁₆, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) with known gap numbers [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F₁₆ [i]
  3. linear OA(16⁸, 12, F₁₆, 8) (dual of [12, 4, 9]-code or 12-arc in PG(7,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁸, 16, F₁₆, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
      - Reedâ€“Solomon code RS(8,16) [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.