MinT - Information on Result #908536

Information on Result #908536

Linear OOA(2¹⁸⁹, 99, F₂, 2, 96) (dual of [(99, 2), 9, 97]-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(2¹⁶⁷, 88, F₂, 2, 87) (dual of [(88, 2), 9, 88]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸⁰, 44, F₂, 2, 43) (dual of [(44, 2), 8, 44]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³⁷, 22, F₂, 2, 21) (dual of [(22, 2), 7, 22]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁶, 11, F₂, 2, 10) (dual of [(11, 2), 6, 11]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 16, 11)-net over F₂, using
        linear code embedding found in a computer search [i]
        linear OOA(2²¹, 11, F₂, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
        dual of repetition NRT-code with length 11 [i]
      2. linear OOA(2⁴³, 22, F₂, 2, 43) (dual of [(22, 2), 1, 44]-NRT-code), using
        dual of repetition NRT-code with length 22 [i]
  2. linear OOA(2⁸⁷, 44, F₂, 2, 87) (dual of [(44, 2), 1, 88]-NRT-code), using
    - dual of repetition NRT-code with length 44 [i]

Mode: Constructive and linear.

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