MinT - Information on Result #908535

Information on Result #908535

Linear OOA(2¹⁷³, 91, F₂, 2, 88) (dual of [(91, 2), 9, 89]-NRT-code), using juxtaposition 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(2¹⁵¹, 80, F₂, 2, 79) (dual of [(80, 2), 9, 80]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷², 40, F₂, 2, 39) (dual of [(40, 2), 8, 40]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³³, 20, F₂, 2, 19) (dual of [(20, 2), 7, 20]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁴, 10, F₂, 2, 9) (dual of [(10, 2), 6, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (5, 14, 10)-net over F₂, using
        linear code embedding found in a computer search [i]
        linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
        dual of repetition NRT-code with length 10 [i]
      2. linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
        dual of repetition NRT-code with length 20 [i]
  2. linear OOA(2⁷⁹, 40, F₂, 2, 79) (dual of [(40, 2), 1, 80]-NRT-code), using
    - dual of repetition NRT-code with length 40 [i]

Mode: Constructive and linear.

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