MinT - Information on Result #2659403

Information on Result #2659403

Linear OOA(3¹⁷², 59, F₃, 3, 131) (dual of [(59, 3), 5, 132]-NRT-code), using 1 step truncation based on linear OOA(3¹⁷³, 60, F₃, 3, 132) (dual of [(60, 3), 7, 133]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁵, 44, F₃, 3, 97) (dual of [(44, 3), 7, 98]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code) (see above)
    2. 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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.