MinT - Information on Result #1026367

Information on Result #1026367

Linear OOA(3²²⁴, 77, F₃, 3, 169) (dual of [(77, 3), 7, 170]-NRT-code), using juxtaposition based on

linear OOA(3²⁶, 11, F₃, 3, 22) (dual of [(11, 3), 7, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁶, 12, F₃, 3, 22) (dual of [(12, 3), 10, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁹¹, 66, F₃, 3, 146) (dual of [(66, 3), 7, 147]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²³, 10, F₃, 3, 20) (dual of [(10, 3), 7, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁶¹, 56, F₃, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: