MinT - Information on Result #874836

Information on Result #874836

Linear OOA(64⁵³, 102, F₆₄, 2, 32) (dual of [(102, 2), 151, 33]-NRT-code), using OOA 2-folding based on linear OA(64⁵³, 204, F₆₄, 32) (dual of [204, 151, 33]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵³, 205, F₆₄, 32) (dual of [205, 152, 33]-code), using
- constructionÂ X applied to AG(F,143P) âŠ‚ AG(F,158P) [i] based on
  1. linear OA(64³⁹, 176, F₆₄, 32) (dual of [176, 137, 33]-code), using algebraic-geometric code AG(F,143P) [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(64²⁴, 176, F₆₄, 17) (dual of [176, 152, 18]-code), using algebraic-geometric code AG(F,158P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64¹⁴, 29, F₆₄, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹⁴, 64, F₆₄, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
      - Reedâ€“Solomon code RS(50,64) [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.