MinT - Information on Result #2282075

Information on Result #2282075

Linear OA(8¹²⁵, 383, F₈, 48) (dual of [383, 258, 49]-code), using 1 times code embedding in larger space based on linear OA(8¹²⁴, 382, F₈, 48) (dual of [382, 258, 49]-code), using

trace code [i] based on linear OA(64⁶², 191, F₆₄, 48) (dual of [191, 129, 49]-code), using
- constructionÂ X applied to AG(F,127P) âŠ‚ AG(F,135P) [i] based on
  1. linear OA(64⁵⁵, 176, F₆₄, 48) (dual of [176, 121, 49]-code), using algebraic-geometric code AG(F,127P) [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(64⁴⁷, 176, F₆₄, 40) (dual of [176, 129, 41]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(64⁷, 15, F₆₄, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁷, 64, F₆₄, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
      - Reedâ€“Solomon code RS(57,64) [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.