MinT - Information on Result #876001

Information on Result #876001

Linear OOA(64⁷², 90, F₆₄, 2, 63) (dual of [(90, 2), 108, 64]-NRT-code), using OOA 2-folding based on linear OA(64⁷², 180, F₆₄, 63) (dual of [180, 108, 64]-code), using

discarding factors / shortening the dual code based on linear OA(64⁷², 181, F₆₄, 63) (dual of [181, 109, 64]-code), using
- constructionÂ X applied to AG(F,112P) âŠ‚ AG(F,115P) [i] based on
  1. linear OA(64⁷⁰, 176, F₆₄, 63) (dual of [176, 106, 64]-code), using algebraic-geometric code AG(F,112P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(64⁶⁷, 176, F₆₄, 60) (dual of [176, 109, 61]-code), using algebraic-geometric code AG(F,115P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64², 5, F₆₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
    - discarding factors / shortening the dual code based on linear OA(64², 64, F₆₄, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
      - Reedâ€“Solomon code RS(62,64) [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.