MinT - Information on Result #875177

Information on Result #875177

Linear OOA(64⁵¹, 93, F₆₄, 2, 39) (dual of [(93, 2), 135, 40]-NRT-code), using OOA 2-folding based on linear OA(64⁵¹, 186, F₆₄, 39) (dual of [186, 135, 40]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵¹, 187, F₆₄, 39) (dual of [187, 136, 40]-code), using
- constructionÂ X applied to AG(F,136P) âŠ‚ AG(F,142P) [i] based on
  1. linear OA(64⁴⁶, 176, F₆₄, 39) (dual of [176, 130, 40]-code), using algebraic-geometric code AG(F,136P) [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(64⁴⁰, 176, F₆₄, 33) (dual of [176, 136, 34]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64⁵, 11, F₆₄, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁵, 64, F₆₄, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
      - Reedâ€“Solomon code RS(59,64) [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.