MinT - Information on Result #1084372

Information on Result #1084372

Linear OOA(3²²⁷, 63, F₃, 4, 145) (dual of [(63, 4), 25, 146]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶¹, 21, F₃, 4, 48) (dual of [(21, 4), 23, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶¹, 24, F₃, 4, 48) (dual of [(24, 4), 35, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,47P) [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(3⁸², 21, F₃, 4, 72) (dual of [(21, 4), 2, 73]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁸², 42, F₃, 2, 72) (dual of [(42, 2), 2, 73]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3⁸⁶, 44, F₃, 2, 76) (dual of [(44, 2), 2, 77]-NRT-code), using
    - repeating each code word 11 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(3⁸⁴, 21, F₃, 4, 84) (dual of [(21, 4), 0, 85]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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