MinT - Information on Result #1080545

Information on Result #1080545

Linear OOA(2²¹⁹, 67, F₂, 4, 94) (dual of [(67, 4), 49, 95]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁶, 33, F₂, 4, 47) (dual of [(33, 4), 46, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,84P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³³, 34, F₂, 4, 94) (dual of [(34, 4), 3, 95]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹³³, 68, F₂, 2, 94) (dual of [(68, 2), 3, 95]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
    2. linear OOA(2¹²⁷, 65, F₂, 2, 90) (dual of [(65, 2), 3, 91]-NRT-code), using
      - repeating each code word 13 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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