MinT - Information on Result #908685

Information on Result #908685

Linear OOA(2⁹⁰, 48, F₂, 2, 48) (dual of [(48, 2), 6, 49]-NRT-code), using juxtaposition based on

linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2⁷⁴, 40, F₂, 2, 40) (dual of [(40, 2), 6, 41]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁶, 6, F₂, 2, 4) (dual of [(6, 2), 6, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶², 34, F₂, 2, 35) (dual of [(34, 2), 6, 36]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
        dual of repetition NRT-code with length 9 [i]

Mode: Constructive and linear.

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