MinT - Information on Result #1027315

Information on Result #1027315

Linear OOA(4²⁴⁸, 85, F₄, 3, 201) (dual of [(85, 3), 7, 202]-NRT-code), using juxtaposition based on

linear OOA(4⁴¹, 16, F₄, 3, 36) (dual of [(16, 3), 7, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴¹, 17, F₄, 3, 36) (dual of [(17, 3), 10, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4²⁰⁰, 69, F₄, 3, 164) (dual of [(69, 3), 7, 165]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁸, 15, F₄, 3, 34) (dual of [(15, 3), 7, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹⁵⁵, 54, F₄, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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