MinT - Information on Result #1816595

Information on Result #1816595

OA(32⁴⁵, 187, S₃₂, 25), using discarding parts of the base based on linear OA(64³⁷, 187, F₆₄, 25) (dual of [187, 150, 26]-code), using

constructionÂ X applied to AG(F,150P) âŠ‚ AG(F,156P) [i] based on
1. linear OA(64³², 176, F₆₄, 25) (dual of [176, 144, 26]-code), using algebraic-geometric code AG(F,150P) [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(64²⁶, 176, F₆₄, 19) (dual of [176, 150, 20]-code), using algebraic-geometric code AG(F,156P) [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.

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.