MinT - Information on Result #2786155

Information on Result #2786155

Linear OOA(3²³¹, 59, F₃, 4, 190) (dual of [(59, 4), 5, 191]-NRT-code), using 2 step truncation based on linear OOA(3²³³, 60, F₃, 4, 192) (dual of [(60, 4), 7, 193]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁷, 16, F₃, 4, 50) (dual of [(16, 4), 7, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3¹⁶⁹, 44, F₃, 4, 141) (dual of [(44, 4), 7, 142]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁵⁷, 16, F₃, 4, 50) (dual of [(16, 4), 7, 51]-NRT-code) (see above)
    2. linear OOA(3¹⁰⁵, 28, F₃, 4, 90) (dual of [(28, 4), 7, 91]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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.