MinT - Information on Result #1014108

Information on Result #1014108

Linear OOA(7⁶⁷, 150, F₇, 3, 23) (dual of [(150, 3), 383, 24]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7²¹, 50, F₇, 3, 11) (dual of [(50, 3), 129, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 21, 50)-net over F₇, using
  - base reduction for projective spaces (embedding PG(10,49) in PG(20,7)) for nets [i] based on digital (0, 11, 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(7⁴⁶, 100, F₇, 3, 23) (dual of [(100, 3), 254, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (23, 46, 100)-net over F₇, using
  - trace code for nets [i] based on digital (0, 23, 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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