MinT - Information on Result #2637796

Information on Result #2637796

Linear OOA(4²⁴⁵, 86, F₄, 3, 185) (dual of [(86, 3), 13, 186]-NRT-code), using strength reduction based on linear OOA(4²⁴⁵, 86, F₄, 3, 186) (dual of [(86, 3), 13, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁶⁸, 27, F₄, 3, 58) (dual of [(27, 3), 13, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(4¹⁶⁴, 59, F₄, 3, 127) (dual of [(59, 3), 13, 128]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁶⁵, 26, F₄, 3, 55) (dual of [(26, 3), 13, 56]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
    2. 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.