MinT - Information on Result #1086770

Information on Result #1086770

Linear OOA(2²⁵⁴, 66, F₂, 4, 169) (dual of [(66, 4), 10, 170]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁶, 14, F₂, 4, 35) (dual of [(14, 4), 10, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁸, 52, F₂, 4, 133) (dual of [(52, 4), 10, 134]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁸, 12, F₂, 4, 29) (dual of [(12, 4), 10, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁵⁰, 40, F₂, 4, 103) (dual of [(40, 4), 10, 104]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁷⁰, 20, F₂, 4, 51) (dual of [(20, 4), 10, 52]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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