MinT - Information on Result #2855847

Information on Result #2855847

Linear OOA(3²¹⁰, 45, F₃, 5, 166) (dual of [(45, 5), 15, 167]-NRT-code), using strength reduction based on linear OOA(3²¹⁰, 45, F₃, 5, 172) (dual of [(45, 5), 15, 173]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷⁰, 17, F₃, 5, 61) (dual of [(17, 5), 15, 62]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁰, 19, F₃, 5, 61) (dual of [(19, 5), 25, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,33P) [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(3¹²⁵, 28, F₃, 5, 110) (dual of [(28, 5), 15, 111]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,29P) [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.