MinT - Information on Result #2853039

Information on Result #2853039

Linear OOA(3¹⁶⁵, 34, F₃, 5, 144) (dual of [(34, 5), 5, 145]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁵, 34, F₃, 5, 146) (dual of [(34, 5), 5, 147]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁵, 10, F₃, 5, 42) (dual of [(10, 5), 5, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁵, 24, F₃, 5, 103) (dual of [(24, 5), 5, 104]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁵⁵, 12, F₃, 5, 51) (dual of [(12, 5), 5, 52]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.