MinT - Information on Result #661663

Information on Result #661663

Linear OA(9¹⁰⁹, 113, F₉, 95) (dual of [113, 4, 96]-code), using juxtaposition based on

linear OA(9²⁷, 31, F₉, 23) (dual of [31, 4, 24]-code), using
- constructionÂ X applied to AG(F,3P) âŠ‚ AG(F,6P) [i] based on
  1. linear OA(9²⁵, 27, F₉, 23) (dual of [27, 2, 24]-code), using algebraic-geometric code AG(F,3P) with known gap numbers [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F₉ [i]
  2. linear OA(9²³, 27, F₉, 20) (dual of [27, 4, 21]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28 (see above)
  3. linear OA(9², 4, F₉, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,9)), using
    - discarding factors / shortening the dual code based on linear OA(9², 9, F₉, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
      - Reedâ€“Solomon code RS(7,9) [i]
linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using
- projective code from ovoid in PG(3,Â 9) [i]

Mode: Constructive and linear.

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