MinT - Information on Result #2786141

Information on Result #2786141

Linear OOA(3²⁴⁴, 62, F₃, 4, 204) (dual of [(62, 4), 4, 205]-NRT-code), using 3 step truncation based on linear OOA(3²⁴⁷, 63, F₃, 4, 207) (dual of [(63, 4), 5, 208]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁹, 6, F₃, 4, 18) (dual of [(6, 4), 5, 19]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁹, 7, F₃, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3²²³, 57, F₃, 4, 188) (dual of [(57, 4), 5, 189]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(3⁷¹, 19, F₃, 4, 62) (dual of [(19, 4), 5, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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]

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.