MinT - Information on Result #894733

Information on Result #894733

Linear OOA(2¹⁵⁷, 82, F₂, 2, 81) (dual of [(82, 2), 7, 82]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁶, 41, F₂, 2, 40) (dual of [(41, 2), 6, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁷⁶, 42, F₂, 2, 40) (dual of [(42, 2), 8, 41]-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(2⁵⁶, 32, F₂, 2, 31) (dual of [(32, 2), 8, 32]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2²⁵, 16, F₂, 2, 15) (dual of [(16, 2), 7, 16]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
        dual of repetition NRT-code with length 8 [i]
        linear OOA(2³¹, 16, F₂, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
        dual of repetition NRT-code with length 16 [i]
linear OOA(2⁸¹, 41, F₂, 2, 81) (dual of [(41, 2), 1, 82]-NRT-code), using
- dual of repetition NRT-code with length 41 [i]

Mode: Constructive and linear.

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