MinT - Information on Result #1013977

Information on Result #1013977

Linear OOA(7⁴⁷, 150, F₇, 3, 16) (dual of [(150, 3), 403, 17]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7¹⁵, 50, F₇, 3, 8) (dual of [(50, 3), 135, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 15, 50)-net over F₇, using
  - base reduction for projective spaces (embedding PG(7,49) in PG(14,7)) for nets [i] based on digital (0, 8, 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(7³², 100, F₇, 3, 16) (dual of [(100, 3), 268, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 32, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 16, 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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