MinT - Information on Result #2856239

Information on Result #2856239

Linear OOA(3²¹⁶, 46, F₃, 5, 178) (dual of [(46, 5), 14, 179]-NRT-code), using strength reduction based on linear OOA(3²¹⁶, 46, F₃, 5, 179) (dual of [(46, 5), 14, 180]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷⁶, 18, F₃, 5, 67) (dual of [(18, 5), 14, 68]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁶, 19, F₃, 5, 67) (dual of [(19, 5), 19, 68]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,27P) [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(3¹²⁶, 28, F₃, 5, 111) (dual of [(28, 5), 14, 112]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,28P) [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.