MinT - Information on Result #909169

Information on Result #909169

Linear OOA(3¹⁴¹, 73, F₃, 2, 96) (dual of [(73, 2), 5, 97]-NRT-code), using juxtaposition based on

linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁷, 66, F₃, 2, 87) (dual of [(66, 2), 5, 88]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁶¹, 33, F₃, 2, 43) (dual of [(33, 2), 5, 44]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(3¹⁸, 11, F₃, 2, 14) (dual of [(11, 2), 4, 15]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3¹⁸, 12, F₃, 2, 14) (dual of [(12, 2), 6, 15]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3²¹, 11, F₃, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
      - dual of repetition NRT-code with length 11 [i]
    3. linear OOA(3²², 11, F₃, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code), using
      - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.