MinT - Information on Result #2634748

Information on Result #2634748

Linear OOA(4²⁰⁶, 71, F₄, 3, 162) (dual of [(71, 3), 7, 163]-NRT-code), using strength reduction based on linear OOA(4²⁰⁶, 71, F₄, 3, 167) (dual of [(71, 3), 7, 168]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁸, 15, F₄, 3, 34) (dual of [(15, 3), 7, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁶¹, 56, F₄, 3, 132) (dual of [(56, 3), 7, 133]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(4¹¹⁹, 42, F₄, 3, 99) (dual of [(42, 3), 7, 100]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(4⁵⁶, 21, F₄, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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.