MinT - Information on Result #1027328

Information on Result #1027328

Linear OOA(4²⁵⁴, 87, F₄, 3, 206) (dual of [(87, 3), 7, 207]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(4²⁰³, 70, F₄, 3, 166) (dual of [(70, 3), 7, 167]-NRT-code), using
- juxtaposition [i] based on
  1. 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 (see above)
  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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