MinT - Information on Result #2631627

Information on Result #2631627

Linear OOA(4¹⁴¹, 49, F₄, 3, 115) (dual of [(49, 3), 6, 116]-NRT-code), using strength reduction based on linear OOA(4¹⁴¹, 49, F₄, 3, 117) (dual of [(49, 3), 6, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³³, 13, F₄, 3, 30) (dual of [(13, 3), 6, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on 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(4¹⁰², 36, F₄, 3, 86) (dual of [(36, 3), 6, 87]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²¹, 9, F₄, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,6P) [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(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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.