MinT - Information on Result #1011438

Information on Result #1011438

Linear OOA(3²¹¹, 84, F₃, 3, 94) (dual of [(84, 3), 41, 95]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁸⁶, 42, F₃, 3, 47) (dual of [(42, 3), 40, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,78P) [i] based on function field F/F₃ with g(F) = 39 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁵, 42, F₃, 3, 94) (dual of [(42, 3), 1, 95]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹²⁵, 44, F₃, 3, 94) (dual of [(44, 3), 7, 95]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹²⁵, 44, F₃, 3, 97) (dual of [(44, 3), 7, 98]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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