MinT - Information on Result #641709

Information on Result #641709

Linear OA(9¹¹⁶, 122, F₉, 92) (dual of [122, 6, 93]-code), using juxtaposition based on

linear OA(9¹³, 19, F₉, 11) (dual of [19, 6, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹³, 20, F₉, 11) (dual of [20, 7, 12]-code), using
  - extended algebraic-geometric code AG_e(F,8P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, using
    - a function field by GarcÃa and Quoos [i]
linear OA(9⁹⁷, 103, F₉, 80) (dual of [103, 6, 81]-code), using
- constructionÂ X applied to C₁ âŠ‚ C₀ [i] based on
  1. linear OA(9⁸⁸, 91, F₉, 80) (dual of [91, 3, 81]-code), using code C₁ for uÂ =Â 3 by de Boer and Brouwer [i]
  2. linear OA(9⁸⁵, 91, F₉, 71) (dual of [91, 6, 72]-code), using code C₀ for uÂ =Â 3 by de Boer and Brouwer [i]
  3. linear OA(9⁹, 12, F₉, 8) (dual of [12, 3, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁹, 19, F₉, 8) (dual of [19, 10, 9]-code), using
      - 1 times truncation [i] based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
        extended quadratic residue code Q_e(20,9) [i]

Mode: Constructive and linear.

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