MinT - Information on Result #908534

Information on Result #908534

Linear OOA(2¹⁵⁷, 83, F₂, 2, 80) (dual of [(83, 2), 9, 81]-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(2¹³⁵, 72, F₂, 2, 71) (dual of [(72, 2), 9, 72]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁶⁴, 36, F₂, 2, 35) (dual of [(36, 2), 8, 36]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2²⁹, 18, F₂, 2, 17) (dual of [(18, 2), 7, 18]-NRT-code), using
        (u,Â u+v)-construction [i] 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(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
        dual of repetition NRT-code with length 9 [i]
      2. linear OOA(2³⁵, 18, F₂, 2, 35) (dual of [(18, 2), 1, 36]-NRT-code), using
        dual of repetition NRT-code with length 18 [i]
  2. linear OOA(2⁷¹, 36, F₂, 2, 71) (dual of [(36, 2), 1, 72]-NRT-code), using
    - dual of repetition NRT-code with length 36 [i]

Mode: Constructive and linear.

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