MinT - Information on Result #876184

Information on Result #876184

Linear OOA(64⁹⁰, 98, F₆₄, 2, 73) (dual of [(98, 2), 106, 74]-NRT-code), using OOA 2-folding based on linear OA(64⁹⁰, 196, F₆₄, 73) (dual of [196, 106, 74]-code), using

discarding factors / shortening the dual code based on linear OA(64⁹⁰, 197, F₆₄, 73) (dual of [197, 107, 74]-code), using
- constructionÂ X applied to AG(F,102P) âŠ‚ AG(F,113P) [i] based on
  1. linear OA(64⁸⁰, 176, F₆₄, 73) (dual of [176, 96, 74]-code), using algebraic-geometric code AG(F,102P) [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(64⁶⁹, 176, F₆₄, 62) (dual of [176, 107, 63]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64¹⁰, 21, F₆₄, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹⁰, 64, F₆₄, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
      - Reedâ€“Solomon code RS(54,64) [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.