MinT - Information on Result #1025544

Information on Result #1025544

Linear OOA(2²⁵¹, 86, F₂, 3, 153) (dual of [(86, 3), 7, 154]-NRT-code), using juxtaposition based on

linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²²⁷, 78, F₂, 3, 139) (dual of [(78, 3), 7, 140]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code) (see above)
  2. linear OOA(2²⁰³, 70, F₂, 3, 125) (dual of [(70, 3), 7, 126]-NRT-code), using
    - repeating each code word 7 times [i] based on linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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