MinT - Information on Result #1014016

Information on Result #1014016

Linear OOA(7⁵³, 150, F₇, 3, 18) (dual of [(150, 3), 397, 19]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7¹⁷, 50, F₇, 3, 9) (dual of [(50, 3), 133, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 50)-net over F₇, using
  - base reduction for projective spaces (embedding PG(8,49) in PG(16,7)) for nets [i] based on digital (0, 9, 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(7³⁶, 100, F₇, 3, 18) (dual of [(100, 3), 264, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 36, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 18, 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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