MinT - Information on Result #1084408

Information on Result #1084408

Linear OOA(3²²⁵, 64, F₃, 4, 137) (dual of [(64, 4), 31, 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(3⁸¹, 22, F₃, 4, 68) (dual of [(22, 4), 7, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸¹, 24, F₃, 4, 68) (dual of [(24, 4), 15, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OOA(3⁸⁸, 22, F₃, 4, 88) (dual of [(22, 4), 0, 89]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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