MinT - Information on Result #1844770

Information on Result #1844770

OA(32⁸⁷, 344, S₃₂, 51), using discarding parts of the base based on linear OA(64⁷², 344, F₆₄, 51) (dual of [344, 272, 52]-code), using

constructionÂ X applied to AG(F,289P) âŠ‚ AG(F,291P) [i] based on
1. linear OA(64⁷¹, 341, F₆₄, 51) (dual of [341, 270, 52]-code), using algebraic-geometric code AG(F,289P) [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(64⁶⁹, 341, F₆₄, 49) (dual of [341, 272, 50]-code), using algebraic-geometric code AG(F,291P) [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.