MinT - Information on Result #908928

Information on Result #908928

Linear OOA(2¹⁴⁴, 74, F₂, 2, 91) (dual of [(74, 2), 4, 92]-NRT-code), using juxtaposition based on

linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁴, 69, F₂, 2, 85) (dual of [(69, 2), 4, 86]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code) (see above)
  2. linear OOA(2¹²⁴, 64, F₂, 2, 79) (dual of [(64, 2), 4, 80]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
      - an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

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