MinT - Information on Result #1025229

Information on Result #1025229

Linear OOA(2²⁵⁰, 87, F₂, 3, 133) (dual of [(87, 3), 11, 134]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁹, 70, F₂, 3, 107) (dual of [(70, 3), 11, 108]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁹⁴, 35, F₂, 3, 53) (dual of [(35, 3), 11, 54]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17 (see above)
    2. linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
      - dual of repetition NRT-code with length 18 [i]

Mode: Constructive and linear.

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