MinT - Information on Result #1027269

Information on Result #1027269

Linear OOA(4²⁵⁹, 89, F₄, 3, 208) (dual of [(89, 3), 8, 209]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁵, 21, F₄, 3, 48) (dual of [(21, 3), 8, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁹⁶, 68, F₄, 3, 159) (dual of [(68, 3), 8, 160]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁴, 14, F₄, 3, 31) (dual of [(14, 3), 8, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹⁵⁴, 54, F₄, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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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None.