MinT - Information on Result #1015408

Information on Result #1015408

Linear OOA(8¹³⁴, 416, F₈, 3, 41) (dual of [(416, 3), 1114, 42]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8⁴⁶, 208, F₈, 3, 20) (dual of [(208, 3), 578, 21]-NRT-code), using
- extracting embedded OOA [i] based on digital (26, 46, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 23, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [i]
linear OOA(8⁸⁸, 208, F₈, 3, 41) (dual of [(208, 3), 536, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (47, 88, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 44, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄ (see above)

Mode: Constructive and linear.

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