MinT - Information on Result #2639160

Information on Result #2639160

Linear OOA(4²⁶⁰, 91, F₄, 3, 192) (dual of [(91, 3), 13, 193]-NRT-code), using strength reduction based on linear OOA(4²⁶⁰, 91, F₄, 3, 196) (dual of [(91, 3), 13, 197]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁶², 25, F₄, 3, 52) (dual of [(25, 3), 13, 53]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁶², 26, F₄, 3, 52) (dual of [(26, 3), 16, 53]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,25P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁸⁵, 66, F₄, 3, 143) (dual of [(66, 3), 13, 144]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁸⁶, 33, F₄, 3, 71) (dual of [(33, 3), 13, 72]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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.