MinT - Information on Result #2621885

Information on Result #2621885

Linear OOA(3¹¹⁷, 43, F₃, 3, 83) (dual of [(43, 3), 12, 84]-NRT-code), using strength reduction based on linear OOA(3¹¹⁷, 43, F₃, 3, 84) (dual of [(43, 3), 12, 85]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³³, 15, F₃, 3, 26) (dual of [(15, 3), 12, 27]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³³, 16, F₃, 3, 26) (dual of [(16, 3), 15, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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.