MinT - Information on Result #2856186

Information on Result #2856186

Linear OOA(3²¹⁵, 45, F₃, 5, 180) (dual of [(45, 5), 10, 181]-NRT-code), using strength reduction based on linear OOA(3²¹⁵, 45, F₃, 5, 182) (dual of [(45, 5), 10, 183]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷⁵, 17, F₃, 5, 66) (dual of [(17, 5), 10, 67]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁵, 19, F₃, 5, 66) (dual of [(19, 5), 20, 67]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,28P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹³⁰, 28, F₃, 5, 115) (dual of [(28, 5), 10, 116]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,24P) [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.