MinT - Information on Result #1021963

Information on Result #1021963

Linear OOA(7⁴³, 213, F₇, 3, 13) (dual of [(213, 3), 596, 14]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7⁵, 13, F₇, 3, 4) (dual of [(13, 3), 34, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 13)-net over F₇, using
  - 8 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]
linear OOA(7¹², 100, F₇, 3, 6) (dual of [(100, 3), 288, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 6, 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]
linear OOA(7²⁶, 100, F₇, 3, 13) (dual of [(100, 3), 274, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 26, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 13, 50)-net over F₄₉, using
    - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

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