MinT - Information on Result #1385564

Information on Result #1385564

Linear OOA(64⁸², 213, F₆₄, 2, 55) (dual of [(213, 2), 344, 56]-NRT-code), using OOA 2-folding based on linear OA(64⁸², 426, F₆₄, 55) (dual of [426, 344, 56]-code), using

discarding factors / shortening the dual code based on linear OA(64⁸², 427, F₆₄, 55) (dual of [427, 345, 56]-code), using
- constructionÂ X applied to AG(F,368P) âŠ‚ AG(F,370P) [i] based on
  1. linear OA(64⁸¹, 424, F₆₄, 55) (dual of [424, 343, 56]-code), using algebraic-geometric code AG(F,368P) [i] based on function field F/F₆₄ with g(F) = 26 and N(F) ≥ 425, using
    - a curve from the manYPoints database [i]
  2. linear OA(64⁷⁹, 424, F₆₄, 53) (dual of [424, 345, 54]-code), using algebraic-geometric code AG(F,370P) [i] based on function field F/F₆₄ with g(F) = 26 and N(F) ≥ 425 (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: Linear.

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.