MinT - Information on Result #1013800

Information on Result #1013800

Linear OOA(7²⁹, 150, F₇, 3, 10) (dual of [(150, 3), 421, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7⁹, 50, F₇, 3, 5) (dual of [(50, 3), 141, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 50)-net over F₇, using
  - base reduction for projective spaces (embedding PG(4,49) in PG(8,7)) for nets [i] based on digital (0, 5, 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(7²⁰, 100, F₇, 3, 10) (dual of [(100, 3), 280, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 10, 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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