MinT - Information on Result #1086730

Information on Result #1086730

Linear OOA(2¹⁷⁴, 46, F₂, 4, 115) (dual of [(46, 4), 10, 116]-NRT-code), using juxtaposition based on

linear OOA(2³⁰, 10, F₂, 4, 24) (dual of [(10, 4), 10, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,15P) [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(2¹³⁴, 36, F₂, 4, 90) (dual of [(36, 4), 10, 91]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹³⁴, 36, F₂, 4, 91) (dual of [(36, 4), 10, 92]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁰, 15, F₂, 4, 37) (dual of [(15, 4), 10, 38]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(2⁷⁴, 21, F₂, 4, 53) (dual of [(21, 4), 10, 54]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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