MinT - Information on Result #2637888

Information on Result #2637888

Linear OOA(4²⁴⁶, 85, F₄, 3, 193) (dual of [(85, 3), 9, 194]-NRT-code), using strength reduction based on linear OOA(4²⁴⁶, 85, F₄, 3, 194) (dual of [(85, 3), 9, 195]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴², 17, F₄, 3, 37) (dual of [(17, 3), 9, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁹⁵, 68, F₄, 3, 156) (dual of [(68, 3), 9, 157]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³³, 14, F₄, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(4¹⁵³, 54, F₄, 3, 125) (dual of [(54, 3), 9, 126]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.