MinT - Information on Result #2663139

Information on Result #2663139

Linear OOA(4²¹⁰, 71, F₄, 3, 176) (dual of [(71, 3), 3, 177]-NRT-code), using 7 step truncation based on linear OOA(4²¹⁷, 74, F₄, 3, 183) (dual of [(74, 3), 5, 184]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²², 9, F₄, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4¹⁹⁰, 65, F₄, 3, 161) (dual of [(65, 3), 5, 162]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²², 9, F₄, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code) (see above)
    2. linear OOA(4¹⁶³, 56, F₄, 3, 139) (dual of [(56, 3), 5, 140]-NRT-code), using
      - repeating each code word 4 times [i] based on linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;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]

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.