MinT - Information on Result #2777631

Information on Result #2777631

Linear OOA(3²⁴⁹, 66, F₃, 4, 185) (dual of [(66, 4), 15, 186]-NRT-code), using strength reduction based on linear OOA(3²⁴⁹, 66, F₃, 4, 188) (dual of [(66, 4), 15, 189]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶¹, 19, F₃, 4, 52) (dual of [(19, 4), 15, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁷³, 47, F₃, 4, 135) (dual of [(47, 4), 15, 136]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁶¹, 19, F₃, 4, 52) (dual of [(19, 4), 15, 53]-NRT-code) (see above)
    2. linear OOA(3⁹⁷, 28, F₃, 4, 82) (dual of [(28, 4), 15, 83]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,29P) [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.