MinT - Information on Result #894731

Information on Result #894731

Linear OOA(2¹⁵⁵, 80, F₂, 2, 81) (dual of [(80, 2), 5, 82]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁴, 39, F₂, 2, 40) (dual of [(39, 2), 4, 41]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁴, 19, F₂, 2, 20) (dual of [(19, 2), 4, 21]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. linear OOA(2²¹, 11, F₂, 2, 20) (dual of [(11, 2), 1, 21]-NRT-code), using
        strength reduction [i] based on linear OOA(2²¹, 11, F₂, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
        dual of repetition NRT-code with length 11 [i]
  2. linear OOA(2⁴⁰, 20, F₂, 2, 40) (dual of [(20, 2), 0, 41]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [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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