MinT - Information on Result #2212958

Information on Result #2212958

Linear OA(8⁹³, 97, F₈, 77) (dual of [97, 4, 78]-code), using strength reduction based on linear OA(8⁹³, 97, F₈, 79) (dual of [97, 4, 80]-code), using

juxtaposition [i] based on
1. linear OA(8¹⁸, 22, F₈, 15) (dual of [22, 4, 16]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹⁸, 23, F₈, 15) (dual of [23, 5, 16]-code), using
    - algebraic-geometric code AG(F,7P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
      - the Klein quartic over F₈ [i]
2. linear OA(8⁷¹, 75, F₈, 63) (dual of [75, 4, 64]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [65,1,64]-code [i] based on
    1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3,Â 8) [i]
    2. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.