MinT - Information on Result #2786177

Information on Result #2786177

Linear OOA(3²³¹, 59, F₃, 4, 188) (dual of [(59, 4), 5, 189]-NRT-code), using 1 step truncation based on linear OOA(3²³², 60, F₃, 4, 189) (dual of [(60, 4), 8, 190]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁶, 16, F₃, 4, 49) (dual of [(16, 4), 8, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,14P) [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(3¹⁶⁸, 44, F₃, 4, 139) (dual of [(44, 4), 8, 140]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁵⁶, 16, F₃, 4, 49) (dual of [(16, 4), 8, 50]-NRT-code) (see above)
    2. linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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.