MinT - Information on Result #2633903

Information on Result #2633903

Linear OOA(4¹⁹², 68, F₄, 3, 144) (dual of [(68, 3), 12, 145]-NRT-code), using strength reduction based on linear OOA(4¹⁹², 68, F₄, 3, 147) (dual of [(68, 3), 12, 148]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁰, 14, F₄, 3, 27) (dual of [(14, 3), 12, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(4¹⁵⁰, 54, F₄, 3, 119) (dual of [(54, 3), 12, 120]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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.