MinT - Information on Result #1014110

Information on Result #1014110

Linear OOA(7⁶⁶, 128, F₇, 3, 23) (dual of [(128, 3), 318, 24]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7¹⁸, 26, F₇, 3, 11) (dual of [(26, 3), 60, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁶, 13, F₇, 3, 5) (dual of [(13, 3), 33, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 6, 13)-net over F₇, using
      - 7 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
        a shift-net [i]
  2. linear OOA(7¹², 13, F₇, 3, 11) (dual of [(13, 3), 27, 12]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 12, 13)-net over F₇, using
      - 1 times m-reduction [i] based on digital (1, 13, 13)-net over F₇ (see above)
linear OOA(7⁴⁸, 102, F₇, 3, 23) (dual of [(102, 3), 258, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 48, 102)-net over F₇, using
  - trace code for nets [i] based on digital (1, 24, 51)-net over F₄₉, using
    - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
      - Niederreiter sequence [i]

Mode: Constructive and linear.

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