MinT - Information on Result #1086899

Information on Result #1086899

Linear OOA(2²⁴⁴, 63, F₂, 4, 169) (dual of [(63, 4), 8, 170]-NRT-code), using juxtaposition based on

linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁴, 53, F₂, 4, 142) (dual of [(53, 4), 8, 143]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code) (see above)
  2. linear OOA(2¹⁶⁴, 43, F₂, 4, 115) (dual of [(43, 4), 8, 116]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2¹²⁸, 34, F₂, 4, 91) (dual of [(34, 4), 8, 92]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁶⁰, 17, F₂, 4, 45) (dual of [(17, 4), 8, 46]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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