MinT - Information on Result #1817516

Information on Result #1817516

OA(32¹⁰¹, 201, S₃₂, 65), using discarding parts of the base based on linear OA(64⁸⁴, 201, F₆₄, 65) (dual of [201, 117, 66]-code), using

constructionÂ X applied to AG(F,110P) âŠ‚ AG(F,123P) [i] based on
1. linear OA(64⁷², 176, F₆₄, 65) (dual of [176, 104, 66]-code), using algebraic-geometric code AG(F,110P) [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(64⁵⁹, 176, F₆₄, 52) (dual of [176, 117, 53]-code), using algebraic-geometric code AG(F,123P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64¹², 25, F₆₄, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹², 64, F₆₄, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
    - Reedâ€“Solomon code RS(52,64) [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.