MinT - Information on Result #894669

Information on Result #894669

Linear OOA(2¹¹⁹, 64, F₂, 2, 61) (dual of [(64, 2), 9, 62]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁵⁶, 32, F₂, 2, 30) (dual of [(32, 2), 8, 31]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁵, 16, F₂, 2, 15) (dual of [(16, 2), 7, 16]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
        dual of repetition NRT-code with length 8 [i]
  2. linear OOA(2³¹, 16, F₂, 2, 30) (dual of [(16, 2), 1, 31]-NRT-code), using
    - strength reduction [i] based on linear OOA(2³¹, 16, F₂, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
      - dual of repetition NRT-code with length 16 [i]
linear OOA(2⁶³, 32, F₂, 2, 61) (dual of [(32, 2), 1, 62]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁶³, 32, F₂, 2, 63) (dual of [(32, 2), 1, 64]-NRT-code), using
  - dual of repetition NRT-code with length 32 [i]

Mode: Constructive and linear.

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