MinT - Information on Result #908614

Information on Result #908614

Linear OOA(2¹⁷⁷, 92, F₂, 2, 92) (dual of [(92, 2), 7, 93]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 14, F₂, 2, 12) (dual of [(14, 2), 7, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²¹, 15, F₂, 2, 12) (dual of [(15, 2), 9, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (9, 21, 15)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2¹⁴⁹, 78, F₂, 2, 79) (dual of [(78, 2), 7, 80]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷⁰, 38, F₂, 2, 39) (dual of [(38, 2), 6, 40]-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
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [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]
      2. 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]
  2. linear OOA(2⁷⁹, 40, F₂, 2, 79) (dual of [(40, 2), 1, 80]-NRT-code), using
    - dual of repetition NRT-code with length 40 [i]

Mode: Constructive and linear.

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