MinT - Information on Result #894774

Information on Result #894774

Linear OOA(2¹⁸⁹, 98, F₂, 2, 96) (dual of [(98, 2), 7, 97]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹², 49, F₂, 2, 48) (dual of [(49, 2), 6, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁹², 50, F₂, 2, 48) (dual of [(50, 2), 8, 49]-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(2⁷², 40, F₂, 2, 39) (dual of [(40, 2), 8, 40]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2³³, 20, F₂, 2, 19) (dual of [(20, 2), 7, 20]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁴, 10, F₂, 2, 9) (dual of [(10, 2), 6, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (5, 14, 10)-net over F₂, using
        linear code embedding found in a computer search [i]
        linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
        dual of repetition NRT-code with length 10 [i]
        linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
        dual of repetition NRT-code with length 20 [i]
linear OOA(2⁹⁷, 49, F₂, 2, 96) (dual of [(49, 2), 1, 97]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁹⁷, 49, F₂, 2, 97) (dual of [(49, 2), 1, 98]-NRT-code), using
  - dual of repetition NRT-code with length 49 [i]

Mode: Constructive and linear.

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