MinT - Information on Result #661635

Information on Result #661635

Linear OA(8⁹³, 97, F₈, 79) (dual of [97, 4, 80]-code), using juxtaposition based on

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]
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.

None.

The following results depend on this result: