MinT - Information on Result #1080535

Information on Result #1080535

Linear OOA(2²¹¹, 64, F₂, 4, 93) (dual of [(64, 4), 45, 94]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁵, 33, F₂, 4, 46) (dual of [(33, 4), 47, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,85P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹²⁶, 32, F₂, 4, 93) (dual of [(32, 4), 2, 94]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹²⁶, 33, F₂, 4, 93) (dual of [(33, 4), 6, 94]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹²⁶, 33, F₂, 4, 94) (dual of [(33, 4), 6, 95]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2¹⁰², 27, F₂, 4, 77) (dual of [(27, 4), 6, 78]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2³⁰, 9, F₂, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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