MinT - Information on Result #894809

Information on Result #894809

Linear OOA(2²²¹, 114, F₂, 2, 113) (dual of [(114, 2), 7, 114]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰⁸, 57, F₂, 2, 56) (dual of [(57, 2), 6, 57]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁰⁸, 58, F₂, 2, 56) (dual of [(58, 2), 8, 57]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2⁸⁸, 48, F₂, 2, 47) (dual of [(48, 2), 8, 48]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2⁴¹, 24, F₂, 2, 23) (dual of [(24, 2), 7, 24]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        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]
        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]
        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(2¹¹³, 57, F₂, 2, 113) (dual of [(57, 2), 1, 114]-NRT-code), using
- dual of repetition NRT-code with length 57 [i]

Mode: Constructive and linear.

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