MinT - Information on Result #1844565

Information on Result #1844565

OA(32⁵⁴, 227, S₃₂, 34), using discarding parts of the base based on linear OA(64⁴⁵, 227, F₆₄, 34) (dual of [227, 182, 35]-code), using

constructionÂ X applied to AG(F,189P) âŠ‚ AG(F,191P) [i] based on
1. linear OA(64⁴⁴, 224, F₆₄, 34) (dual of [224, 180, 35]-code), using algebraic-geometric code AG(F,189P) [i] based on function field F/F₆₄ with g(F) = 10 and N(F) ≥ 225, using
  - a curve from the manYPoints database [i]
2. linear OA(64⁴², 224, F₆₄, 32) (dual of [224, 182, 33]-code), using algebraic-geometric code AG(F,191P) [i] based on function field F/F₆₄ with g(F) = 10 and N(F) ≥ 225 (see above)
3. linear OA(64¹, 3, F₆₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(64¹, s, F₆₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Arbitrary.

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.