MinT - Information on Result #1014118

Information on Result #1014118

Linear OOA(7⁷⁰, 128, F₇, 3, 24) (dual of [(128, 3), 314, 25]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7²⁰, 26, F₇, 3, 12) (dual of [(26, 3), 58, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁷, 13, F₇, 3, 6) (dual of [(13, 3), 32, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 7, 13)-net over F₇, using
      - 6 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
        a shift-net [i]
  2. linear OOA(7¹³, 13, F₇, 3, 12) (dual of [(13, 3), 26, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 13, 13)-net over F₇ (see above)
linear OOA(7⁵⁰, 102, F₇, 3, 24) (dual of [(102, 3), 256, 25]-NRT-code), using
- extracting embedded OOA [i] based on digital (26, 50, 102)-net over F₇, using
  - trace code for nets [i] based on digital (1, 25, 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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