MinT - Information on Result #1844779

Information on Result #1844779

OA(32⁸⁸, 344, S₃₂, 52), using discarding parts of the base based on linear OA(64⁷³, 344, F₆₄, 52) (dual of [344, 271, 53]-code), using

constructionÂ X applied to AG(F,288P) âŠ‚ AG(F,290P) [i] based on
1. linear OA(64⁷², 341, F₆₄, 52) (dual of [341, 269, 53]-code), using algebraic-geometric code AG(F,288P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342, using
  - a curve from the manYPoints database [i]
2. linear OA(64⁷⁰, 341, F₆₄, 50) (dual of [341, 271, 51]-code), using algebraic-geometric code AG(F,290P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342 (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.