MinT - Information on Result #1084407

Information on Result #1084407

Linear OOA(3²¹⁴, 60, F₃, 4, 137) (dual of [(60, 4), 26, 138]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁶, 20, F₃, 4, 45) (dual of [(20, 4), 24, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 56, 20)-net over F₃, using
  - net from sequence [i] based on digital (11, 19)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 9, N(F)Â =Â 19, and 1 place with degree 3 [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
linear OOA(3⁷⁸, 20, F₃, 4, 68) (dual of [(20, 4), 2, 69]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁷⁸, 40, F₃, 2, 68) (dual of [(40, 2), 2, 69]-NRT-code), using
  - strength reduction [i] based on linear OOA(3⁷⁸, 40, F₃, 2, 69) (dual of [(40, 2), 2, 70]-NRT-code), using
    - repeating each code word 10 times [i] based on linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [i]
linear OOA(3⁸⁰, 20, F₃, 4, 80) (dual of [(20, 4), 0, 81]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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