MinT - Information on Result #2439000

Information on Result #2439000

Linear OOA(4⁸¹, 43, F₄, 2, 62) (dual of [(43, 2), 5, 63]-NRT-code), using strength reduction based on linear OOA(4⁸¹, 43, F₄, 2, 63) (dual of [(43, 2), 5, 64]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [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(4⁵³, 29, F₄, 2, 42) (dual of [(29, 2), 5, 43]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code) (see above)
    2. linear OOA(4²⁵, 15, F₄, 2, 21) (dual of [(15, 2), 5, 22]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,8P) [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.