MinT - Information on Result #2621801

Information on Result #2621801

Linear OOA(3¹¹⁵, 43, F₃, 3, 77) (dual of [(43, 3), 14, 78]-NRT-code), using strength reduction based on linear OOA(3¹¹⁵, 43, F₃, 3, 80) (dual of [(43, 3), 14, 81]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³¹, 15, F₃, 3, 24) (dual of [(15, 3), 14, 25]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³¹, 16, F₃, 3, 24) (dual of [(16, 3), 17, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(3⁷⁰, 28, F₃, 3, 55) (dual of [(28, 3), 14, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [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.