MinT - Information on Result #894771

Information on Result #894771

Linear OOA(2¹⁸³, 96, F₂, 2, 94) (dual of [(96, 2), 9, 95]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁸, 48, F₂, 2, 47) (dual of [(48, 2), 8, 48]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴¹, 24, F₂, 2, 23) (dual of [(24, 2), 7, 24]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁸, 12, F₂, 2, 11) (dual of [(12, 2), 6, 12]-NRT-code), using
        extracting embedded OOA [i] based on digital (7, 18, 12)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²³, 12, F₂, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
        dual of repetition NRT-code with length 12 [i]
  2. linear OOA(2⁴⁷, 24, F₂, 2, 47) (dual of [(24, 2), 1, 48]-NRT-code), using
    - dual of repetition NRT-code with length 24 [i]
linear OOA(2⁹⁵, 48, F₂, 2, 94) (dual of [(48, 2), 1, 95]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁹⁵, 48, F₂, 2, 95) (dual of [(48, 2), 1, 96]-NRT-code), using
  - dual of repetition NRT-code with length 48 [i]

Mode: Constructive and linear.

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