MinT - Information on Result #908597

Information on Result #908597

Linear OOA(2¹³⁹, 73, F₂, 2, 72) (dual of [(73, 2), 7, 73]-NRT-code), using juxtaposition based on

linear OOA(2¹³, 10, F₂, 2, 8) (dual of [(10, 2), 7, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹³, 11, F₂, 2, 8) (dual of [(11, 2), 9, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 13, 11)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2¹¹⁹, 63, F₂, 2, 63) (dual of [(63, 2), 7, 64]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹¹⁹, 64, F₂, 2, 63) (dual of [(64, 2), 9, 64]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁵⁶, 32, F₂, 2, 31) (dual of [(32, 2), 8, 32]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2²⁵, 16, F₂, 2, 15) (dual of [(16, 2), 7, 16]-NRT-code), using
        (u,Â u+v)-construction [i] 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(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
        dual of repetition NRT-code with length 8 [i]
        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]
    2. 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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