MinT - Information on Result #909108

Information on Result #909108

Linear OOA(3¹²², 64, F₃, 2, 82) (dual of [(64, 2), 6, 83]-NRT-code), using juxtaposition based on

linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,6P) [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(3¹⁰⁸, 57, F₃, 2, 74) (dual of [(57, 2), 6, 75]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3³³, 19, F₃, 2, 24) (dual of [(19, 2), 5, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3³⁷, 19, F₃, 2, 37) (dual of [(19, 2), 1, 38]-NRT-code), using
    - dual of repetition NRT-code with length 19 [i]
  3. linear OOA(3³⁸, 19, F₃, 2, 38) (dual of [(19, 2), 0, 39]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.