MinT - Information on Result #859467

Information on Result #859467

Linear OOA(16⁹⁴, 58, F₁₆, 2, 62) (dual of [(58, 2), 22, 63]-NRT-code), using OOA 2-folding based on linear OA(16⁹⁴, 116, F₁₆, 62) (dual of [116, 22, 63]-code), using

1 times truncation [i] based on linear OA(16⁹⁵, 117, F₁₆, 63) (dual of [117, 22, 64]-code), using
- constructionÂ X applied to AG(F,0P) âŠ‚ AG(F,27P) [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(16⁴², 64, F₁₆, 36) (dual of [64, 22, 37]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16³², 53, F₁₆, 26) (dual of [53, 21, 27]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³², 64, F₁₆, 26) (dual of [64, 32, 27]-code), using
      - algebraic-geometric code AG(F,37P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)

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.