MinT - Information on Result #2771551

Information on Result #2771551

Linear OOA(3¹⁵⁷, 43, F₃, 4, 116) (dual of [(43, 4), 15, 117]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁷, 43, F₃, 4, 121) (dual of [(43, 4), 15, 122]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁵, 15, F₃, 4, 38) (dual of [(15, 4), 15, 39]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁴⁵, 16, F₃, 4, 38) (dual of [(16, 4), 19, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,25P) [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(3⁹⁷, 28, F₃, 4, 82) (dual of [(28, 4), 15, 83]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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.