MinT - Information on Result #661656

Information on Result #661656

Linear OA(9¹¹², 116, F₉, 97) (dual of [116, 4, 98]-code), using juxtaposition based on

linear OA(9²⁰, 24, F₉, 17) (dual of [24, 4, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(9²⁰, 27, F₉, 17) (dual of [27, 7, 18]-code), using
  - algebraic-geometric code AG(F,9P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [i]
linear OA(9⁸⁸, 92, F₉, 79) (dual of [92, 4, 80]-code), using
- constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [82,1,81]-code [i] based on
  1. linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using projective code from ovoid in PG(3,Â 9) [i]
  2. linear OA(9⁷, 10, F₉, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
    - extended Reedâ€“Solomon code RS_e(3,9) [i]

Mode: Constructive and linear.

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