MinT - Information on Result #894468

Information on Result #894468

Linear OOA(2⁴⁹, 36, F₂, 2, 19) (dual of [(36, 2), 23, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁸, 20, F₂, 2, 9) (dual of [(20, 2), 22, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 18, 20)-net over F₂, using
  - linear code embedding found in a computer search [i]
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]

Mode: Constructive and linear.

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