MinT - Information on Result #894735

Information on Result #894735

Linear OOA(2¹⁵⁸, 82, F₂, 2, 82) (dual of [(82, 2), 6, 83]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁵, 40, F₂, 2, 41) (dual of [(40, 2), 5, 42]-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(2⁴¹, 21, F₂, 2, 41) (dual of [(21, 2), 1, 42]-NRT-code), using
    - dual of repetition NRT-code with length 21 [i]
linear OOA(2⁸³, 42, F₂, 2, 82) (dual of [(42, 2), 1, 83]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁸³, 42, F₂, 2, 83) (dual of [(42, 2), 1, 84]-NRT-code), using
  - dual of repetition NRT-code with length 42 [i]

Mode: Constructive and linear.

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