MinT - Information on Result #1014141

Information on Result #1014141

Linear OOA(7⁷³, 120, F₇, 3, 27) (dual of [(120, 3), 287, 28]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7¹⁹, 20, F₇, 3, 13) (dual of [(20, 3), 41, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 19, 20)-net over F₇, using
  - 1 times m-reduction [i] based on digital (6, 20, 20)-net over F₇, using
    - a shift-net [i]
linear OOA(7⁵⁴, 100, F₇, 3, 27) (dual of [(100, 3), 246, 28]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 54, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 27, 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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