MinT - Information on Result #2282521

Information on Result #2282521

Linear OA(8¹⁵⁹, 261, F₈, 73) (dual of [261, 102, 74]-code), using 1 times code embedding in larger space based on linear OA(8¹⁵⁸, 260, F₈, 73) (dual of [260, 102, 74]-code), using

trace code [i] based on linear OA(64⁷⁹, 130, F₆₄, 73) (dual of [130, 51, 74]-code), using
- constructionÂ X applied to AG(F,53P) âŠ‚ AG(F,55P) [i] based on
  1. linear OA(64⁷⁸, 127, F₆₄, 73) (dual of [127, 49, 74]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, using
    - a function field by SÃ©mirat [i]
  2. linear OA(64⁷⁶, 127, F₆₄, 71) (dual of [127, 51, 72]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128 (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: Constructive and 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.