MinT - Information on Result #908556

Information on Result #908556

Linear OOA(2¹⁰⁰, 54, F₂, 2, 52) (dual of [(54, 2), 8, 53]-NRT-code), using juxtaposition based on

linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
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
      1. 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]
      2. 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]

Mode: Constructive and linear.

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None.