MinT - Information on Result #2786391

Information on Result #2786391

Linear OOA(3²⁰³, 57, F₃, 4, 139) (dual of [(57, 4), 25, 140]-NRT-code), using 9 step truncation based on linear OOA(3²¹², 60, F₃, 4, 148) (dual of [(60, 4), 28, 149]-NRT-code), using

strength reduction [i] based on linear OOA(3²¹², 60, F₃, 4, 149) (dual of [(60, 4), 28, 150]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁸⁴, 28, F₃, 4, 69) (dual of [(28, 4), 28, 70]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁰⁰, 32, F₃, 4, 79) (dual of [(32, 4), 28, 80]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,48P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.