MinT - Information on Result #849179

Information on Result #849179

Linear OOA(8¹¹⁹, 65, F₈, 2, 84) (dual of [(65, 2), 11, 85]-NRT-code), using OOA 2-folding based on linear OA(8¹¹⁹, 130, F₈, 84) (dual of [130, 11, 85]-code), using

juxtaposition [i] based on
1. linear OA(8⁵³, 64, F₈, 41) (dual of [64, 11, 42]-code), using
  - algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]
2. linear OA(8⁵⁵, 66, F₈, 42) (dual of [66, 11, 43]-code), using
  - constructionÂ X applied to AG(F,21P) âŠ‚ AG(F,23P) [i] based on
    1. linear OA(8⁵⁵, 64, F₈, 42) (dual of [64, 9, 43]-code), using algebraic-geometric code AG(F,21P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
    2. linear OA(8⁵³, 64, F₈, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
    3. linear OA(8⁰, 2, F₈, 0) (dual of [2, 2, 1]-code), using
      - discarding factors / shortening the dual code based on linear OA(8⁰, s, F₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [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.