MinT - Information on Result #1093586

Information on Result #1093586

Linear OOA(2¹⁵², 73, F₂, 4, 48) (dual of [(73, 4), 140, 49]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁶, 7, F₂, 4, 24) (dual of [(7, 4), 2, 25]-NRT-code), using
- 8 step truncation [i] based on linear OOA(2³⁴, 9, F₂, 4, 32) (dual of [(9, 4), 2, 33]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2¹⁰, 3, F₂, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;2,2) [i]
linear OOA(2¹²⁶, 66, F₂, 4, 48) (dual of [(66, 4), 138, 49]-NRT-code), using
- extracting embedded OOA [i] based on digital (78, 126, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 63, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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