MinT - Information on Result #2855677

Information on Result #2855677

Linear OOA(3²⁰⁸, 43, F₃, 5, 176) (dual of [(43, 5), 7, 177]-NRT-code), using strength reduction based on linear OOA(3²⁰⁸, 43, F₃, 5, 180) (dual of [(43, 5), 7, 181]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁸, 15, F₃, 5, 61) (dual of [(15, 5), 7, 62]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁸, 16, F₃, 5, 61) (dual of [(16, 5), 12, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,18P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹³³, 28, F₃, 5, 118) (dual of [(28, 5), 7, 119]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,21P) [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.