MinT - Information on Result #2663237

Information on Result #2663237

Linear OOA(4²⁴¹, 82, F₄, 3, 198) (dual of [(82, 3), 5, 199]-NRT-code), using 8 step truncation based on linear OOA(4²⁴⁹, 85, F₄, 3, 206) (dual of [(85, 3), 6, 207]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁹⁸, 68, F₄, 3, 165) (dual of [(68, 3), 6, 166]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(4¹⁵⁶, 54, F₄, 3, 131) (dual of [(54, 3), 6, 132]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.