MinT - Information on Result #909235

Information on Result #909235

Linear OOA(3¹²⁶, 65, F₃, 2, 90) (dual of [(65, 2), 4, 91]-NRT-code), using juxtaposition based on

linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [i]
linear OOA(3¹¹⁸, 61, F₃, 2, 85) (dual of [(61, 2), 4, 86]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹¹⁸, 62, F₃, 2, 85) (dual of [(62, 2), 6, 86]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3¹²², 64, F₃, 2, 89) (dual of [(64, 2), 6, 90]-NRT-code), using
    - strength reduction [i] based on linear OOA(3¹²², 64, F₃, 2, 90) (dual of [(64, 2), 6, 91]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(9¹³, 16, F₉, 12) (dual of [16, 3, 13]-code), using
        extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [i]
        linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [i]

Mode: Constructive and linear.

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