MinT - Information on Result #641416

Information on Result #641416

Linear OA(8⁹¹, 96, F₈, 72) (dual of [96, 5, 73]-code), using juxtaposition based on

linear OA(8⁹, 14, F₈, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
  - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OA(8⁷⁷, 82, F₈, 63) (dual of [82, 5, 64]-code), using
- discarding factors / shortening the dual code based on linear OA(8⁷⁷, 83, F₈, 63) (dual of [83, 6, 64]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₀ [i] based on
    1. linear OA(8⁷⁰, 73, F₈, 63) (dual of [73, 3, 64]-code), using code C₁ for uÂ =Â 3 by de Boer and Brouwer [i]
    2. linear OA(8⁶⁷, 73, F₈, 55) (dual of [73, 6, 56]-code), using code C₀ for uÂ =Â 3 by de Boer and Brouwer [i]
    3. 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.

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