MinT - Information on Result #908545

Information on Result #908545

Linear OOA(2²²³, 116, F₂, 2, 113) (dual of [(116, 2), 9, 114]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 12, F₂, 2, 9) (dual of [(12, 2), 9, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 15, 12)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2¹⁹⁹, 104, F₂, 2, 103) (dual of [(104, 2), 9, 104]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹⁶, 52, F₂, 2, 51) (dual of [(52, 2), 8, 52]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁵, 26, F₂, 2, 25) (dual of [(26, 2), 7, 26]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2²⁰, 13, F₂, 2, 12) (dual of [(13, 2), 6, 13]-NRT-code), using
        extracting embedded OOA [i] based on digital (8, 20, 13)-net over F₂, using
        linear code embedding found in a computer search [i]
        linear OOA(2²⁵, 13, F₂, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
        dual of repetition NRT-code with length 13 [i]
      2. linear OOA(2⁵¹, 26, F₂, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using
        dual of repetition NRT-code with length 26 [i]
  2. linear OOA(2¹⁰³, 52, F₂, 2, 103) (dual of [(52, 2), 1, 104]-NRT-code), using
    - dual of repetition NRT-code with length 52 [i]

Mode: Constructive and linear.

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