MinT - Information on Result #2854536

Information on Result #2854536

Linear OOA(3¹⁹¹, 41, F₃, 5, 154) (dual of [(41, 5), 14, 155]-NRT-code), using strength reduction based on linear OOA(3¹⁹¹, 41, F₃, 5, 157) (dual of [(41, 5), 14, 158]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁶, 14, F₃, 5, 50) (dual of [(14, 5), 14, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,19P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²¹, 27, F₃, 5, 106) (dual of [(27, 5), 14, 107]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹²¹, 28, F₃, 5, 106) (dual of [(28, 5), 19, 107]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,33P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.