MinT - Information on Result #894716

Information on Result #894716

Linear OOA(2¹⁴⁶, 76, F₂, 2, 76) (dual of [(76, 2), 6, 77]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁰, 38, F₂, 2, 38) (dual of [(38, 2), 6, 39]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. 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]
  2. linear OOA(2³⁹, 20, F₂, 2, 38) (dual of [(20, 2), 1, 39]-NRT-code), using
    - strength reduction [i] based on 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(2⁷⁶, 38, F₂, 2, 76) (dual of [(38, 2), 0, 77]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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