MinT - Information on Result #875559

Information on Result #875559

Linear OOA(64⁶⁵, 98, F₆₄, 2, 48) (dual of [(98, 2), 131, 49]-NRT-code), using OOA 2-folding based on linear OA(64⁶⁵, 196, F₆₄, 48) (dual of [196, 131, 49]-code), using

discarding factors / shortening the dual code based on linear OA(64⁶⁵, 197, F₆₄, 48) (dual of [197, 132, 49]-code), using
- constructionÂ X applied to AG(F,127P) âŠ‚ AG(F,138P) [i] based on
  1. linear OA(64⁵⁵, 176, F₆₄, 48) (dual of [176, 121, 49]-code), using algebraic-geometric code AG(F,127P) [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(64⁴⁴, 176, F₆₄, 37) (dual of [176, 132, 38]-code), using algebraic-geometric code AG(F,138P) [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.