MinT - Information on Result #1084381

Information on Result #1084381

Linear OOA(3²²⁶, 63, F₃, 4, 143) (dual of [(63, 4), 26, 144]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁰, 21, F₃, 4, 47) (dual of [(21, 4), 24, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁰, 24, F₃, 4, 47) (dual of [(24, 4), 36, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,48P) [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, 71) (dual of [(21, 4), 2, 72]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁸², 42, F₃, 2, 71) (dual of [(42, 2), 2, 72]-NRT-code), using
  - 12 step truncation [i] based on linear OOA(3⁹⁴, 48, F₃, 2, 83) (dual of [(48, 2), 2, 84]-NRT-code), using
    - repeating each code word 12 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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