MinT - Information on Result #908755

Information on Result #908755

Linear OOA(2¹²², 64, F₂, 2, 66) (dual of [(64, 2), 6, 67]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 13, F₂, 2, 12) (dual of [(13, 2), 6, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 20, 13)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2⁹⁶, 51, F₂, 2, 53) (dual of [(51, 2), 6, 54]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
      - dual of repetition NRT-code with length 9 [i]

Mode: Constructive and linear.

None.

None.