MinT - Information on Result #2855553

Information on Result #2855553

Linear OOA(3²⁰⁶, 43, F₃, 5, 172) (dual of [(43, 5), 9, 173]-NRT-code), using strength reduction based on linear OOA(3²⁰⁶, 43, F₃, 5, 176) (dual of [(43, 5), 9, 177]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁶, 15, F₃, 5, 59) (dual of [(15, 5), 9, 60]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁶, 16, F₃, 5, 59) (dual of [(16, 5), 14, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,20P) [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(3¹³¹, 28, F₃, 5, 116) (dual of [(28, 5), 9, 117]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,23P) [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.