MinT - Information on Result #2771788

Information on Result #2771788

Linear OOA(3¹⁶², 45, F₃, 4, 119) (dual of [(45, 4), 18, 120]-NRT-code), using strength reduction based on linear OOA(3¹⁶², 45, F₃, 4, 121) (dual of [(45, 4), 18, 122]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁴, 18, F₃, 4, 45) (dual of [(18, 4), 18, 46]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 19, F₃, 4, 45) (dual of [(19, 4), 22, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,30P) [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(3⁹⁰, 27, F₃, 4, 75) (dual of [(27, 4), 18, 76]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,32P) [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.