MinT - Information on Result #2770953

Information on Result #2770953

Linear OOA(3¹⁴⁵, 39, F₃, 4, 113) (dual of [(39, 4), 11, 114]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁵, 39, F₃, 4, 116) (dual of [(39, 4), 11, 117]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³³, 11, F₃, 4, 29) (dual of [(11, 4), 11, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³³, 12, F₃, 4, 29) (dual of [(12, 4), 15, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,25P) [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.