MinT - Information on Result #896032

Information on Result #896032

Linear OOA(4²⁵⁵, 558, F₄, 2, 64) (dual of [(558, 2), 861, 65]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4⁴², 27, F₄, 2, 32) (dual of [(27, 2), 12, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,21P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4²¹³, 531, F₄, 2, 64) (dual of [(531, 2), 849, 65]-NRT-code), using
- extracting embedded OOA [i] based on digital (149, 213, 531)-net over F₄, using
  - trace code for nets [i] based on digital (7, 71, 177)-net over F₆₄, using
    - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

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