MinT - Information on Result #875357

Information on Result #875357

Linear OOA(64⁵⁷, 95, F₆₄, 2, 43) (dual of [(95, 2), 133, 44]-NRT-code), using OOA 2-folding based on linear OA(64⁵⁷, 190, F₆₄, 43) (dual of [190, 133, 44]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵⁷, 191, F₆₄, 43) (dual of [191, 134, 44]-code), using
- constructionÂ X applied to AG(F,132P) âŠ‚ AG(F,140P) [i] based on
  1. linear OA(64⁵⁰, 176, F₆₄, 43) (dual of [176, 126, 44]-code), using algebraic-geometric code AG(F,132P) [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(64⁴², 176, F₆₄, 35) (dual of [176, 134, 36]-code), using algebraic-geometric code AG(F,140P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64⁷, 15, F₆₄, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁷, 64, F₆₄, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
      - Reedâ€“Solomon code RS(57,64) [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.