MinT - Information on Result #1817526

Information on Result #1817526

OA(32¹⁰¹, 181, S₃₂, 75), using discarding parts of the base based on linear OA(64⁸⁴, 181, F₆₄, 75) (dual of [181, 97, 76]-code), using

constructionÂ X applied to AG(F,100P) âŠ‚ AG(F,103P) [i] based on
1. linear OA(64⁸², 176, F₆₄, 75) (dual of [176, 94, 76]-code), using algebraic-geometric code AG(F,100P) [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(64⁷⁹, 176, F₆₄, 72) (dual of [176, 97, 73]-code), using algebraic-geometric code AG(F,103P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64², 5, F₆₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
  - discarding factors / shortening the dual code based on linear OA(64², 64, F₆₄, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
    - Reedâ€“Solomon code RS(62,64) [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.