MinT - Information on Result #896405

Information on Result #896405

Linear OOA(7⁶⁸, 202, F₇, 2, 22) (dual of [(202, 2), 336, 23]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(7²², 100, F₇, 2, 11) (dual of [(100, 2), 178, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 22, 100)-net over F₇, using
  - trace code 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, 102, F₇, 2, 22) (dual of [(102, 2), 158, 23]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 46, 102)-net over F₇, using
  - trace code for nets [i] based on digital (1, 23, 51)-net over F₄₉, using
    - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
      - Niederreiter sequence [i]

Mode: Constructive and linear.

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