MinT - Information on Result #641667

Information on Result #641667

Linear OA(9¹²⁰, 127, F₉, 91) (dual of [127, 7, 92]-code), using juxtaposition based on

linear OA(9¹², 19, F₉, 10) (dual of [19, 7, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹², 20, F₉, 10) (dual of [20, 8, 11]-code), using
  - extended algebraic-geometric code AG_e(F,9P) [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(9¹⁰¹, 108, F₉, 80) (dual of [108, 7, 81]-code), using
- juxtaposition [i] based on
  1. linear OA(9¹⁰, 17, F₉, 9) (dual of [17, 7, 10]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
      - extended quadratic residue code Q_e(20,9) [i]
  2. linear OA(9⁸⁴, 91, F₉, 70) (dual of [91, 7, 71]-code), using
    - the BCH-code C(I) with length 91Â | 9³âˆ’1, defining interval IÂ =Â {−9,15,39,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 71 [i]

Mode: Constructive and linear.

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