MinT - Information on Result #896396

Information on Result #896396

Linear OOA(7⁵¹, 113, F₇, 2, 20) (dual of [(113, 2), 175, 21]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7¹¹, 13, F₇, 2, 10) (dual of [(13, 2), 15, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F₇, using
  - 2 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]
linear OOA(7⁴⁰, 100, F₇, 2, 20) (dual of [(100, 2), 160, 21]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 40, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 20, 50)-net over F₄₉, using
    - net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
        the rational function field F₄₉(x) [i]
      - Niederreiter sequence [i]

Mode: Constructive and linear.

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