MinT - Information on Result #2853123

Information on Result #2853123

Linear OOA(3¹⁶⁷, 35, F₃, 5, 142) (dual of [(35, 5), 8, 143]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁷, 35, F₃, 5, 143) (dual of [(35, 5), 8, 144]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³², 8, F₃, 5, 30) (dual of [(8, 5), 8, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,9P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁷, 27, F₃, 5, 112) (dual of [(27, 5), 8, 113]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹²⁷, 28, F₃, 5, 112) (dual of [(28, 5), 13, 113]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,27P) [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.