MinT - Information on Result #894802

Information on Result #894802

Linear OOA(2²¹², 109, F₂, 2, 110) (dual of [(109, 2), 6, 111]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰², 54, F₂, 2, 55) (dual of [(54, 2), 6, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁷, 26, F₂, 2, 27) (dual of [(26, 2), 5, 28]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2²⁰, 12, F₂, 2, 13) (dual of [(12, 2), 4, 14]-NRT-code), using
        (u,Â u+v)-construction [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]
        linear OOA(2¹³, 7, F₂, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
        dual of repetition NRT-code with length 7 [i]
      2. linear OOA(2²⁷, 14, F₂, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
        dual of repetition NRT-code with length 14 [i]
  2. linear OOA(2⁵⁵, 28, F₂, 2, 55) (dual of [(28, 2), 1, 56]-NRT-code), using
    - dual of repetition NRT-code with length 28 [i]
linear OOA(2¹¹⁰, 55, F₂, 2, 110) (dual of [(55, 2), 0, 111]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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