MinT - Information on Result #2773634

Information on Result #2773634

Linear OOA(3¹⁹³, 50, F₃, 4, 158) (dual of [(50, 4), 7, 159]-NRT-code), using strength reduction based on linear OOA(3¹⁹³, 50, F₃, 4, 159) (dual of [(50, 4), 7, 160]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 12, F₃, 4, 37) (dual of [(12, 4), 7, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴⁵, 38, F₃, 4, 121) (dual of [(38, 4), 7, 122]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁶⁹, 19, F₃, 4, 60) (dual of [(19, 4), 7, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.