MinT - Information on Result #2631019

Information on Result #2631019

Linear OOA(4¹²³, 43, F₄, 3, 101) (dual of [(43, 3), 6, 102]-NRT-code), using strength reduction based on linear OOA(4¹²³, 43, F₄, 3, 103) (dual of [(43, 3), 6, 104]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁸¹, 29, F₄, 3, 69) (dual of [(29, 3), 6, 70]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
    2. linear OOA(4³⁹, 15, F₄, 3, 35) (dual of [(15, 3), 6, 36]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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.