MinT - Information on Result #1025466

Information on Result #1025466

Linear OOA(2²⁵³, 87, F₂, 3, 147) (dual of [(87, 3), 8, 148]-NRT-code), using juxtaposition based on

linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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]
linear OOA(2²²⁶, 78, F₂, 3, 132) (dual of [(78, 3), 8, 133]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁶, 8, F₂, 3, 12) (dual of [(8, 3), 8, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2²⁰², 70, F₂, 3, 119) (dual of [(70, 3), 8, 120]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(2³⁴, 14, F₂, 3, 23) (dual of [(14, 3), 8, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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