MinT - Information on Result #1817672

Information on Result #1817672

OA(32¹⁰⁷, 217, S₃₂, 62), using discarding parts of the base based on linear OA(64⁸⁹, 217, F₆₄, 62) (dual of [217, 128, 63]-code), using

constructionÂ X applied to AG(F,113P) âŠ‚ AG(F,134P) [i] based on
1. 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, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(64⁴⁸, 176, F₆₄, 41) (dual of [176, 128, 42]-code), using algebraic-geometric code AG(F,134P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64²⁰, 41, F₆₄, 20) (dual of [41, 21, 21]-code or 41-arc in PG(19,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
    - Reedâ€“Solomon code RS(44,64) [i]

Mode: Constructive.

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.