MinT - Information on Result #2282396

Information on Result #2282396

Linear OA(8¹⁵⁷, 387, F₈, 63) (dual of [387, 230, 64]-code), using 1 times code embedding in larger space based on linear OA(8¹⁵⁶, 386, F₈, 63) (dual of [386, 230, 64]-code), using

trace code [i] based on linear OA(64⁷⁸, 193, F₆₄, 63) (dual of [193, 115, 64]-code), using
- constructionÂ X applied to AG(F,112P) âŠ‚ AG(F,121P) [i] based on
  1. linear OA(64⁷⁰, 176, F₆₄, 63) (dual of [176, 106, 64]-code), using algebraic-geometric code AG(F,112P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(64⁶¹, 176, F₆₄, 54) (dual of [176, 115, 55]-code), using algebraic-geometric code AG(F,121P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64⁸, 17, F₆₄, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁸, 64, F₆₄, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
      - Reedâ€“Solomon code RS(56,64) [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.