MinT - Information on Result #2637958

Information on Result #2637958

Linear OOA(4²⁴⁷, 87, F₄, 3, 185) (dual of [(87, 3), 14, 186]-NRT-code), using strength reduction based on linear OOA(4²⁴⁷, 87, F₄, 3, 186) (dual of [(87, 3), 14, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁶⁷, 27, F₄, 3, 57) (dual of [(27, 3), 14, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(4¹⁶⁶, 60, F₄, 3, 128) (dual of [(60, 3), 14, 129]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁶⁷, 27, F₄, 3, 57) (dual of [(27, 3), 14, 58]-NRT-code) (see above)
    2. linear OOA(4⁸⁵, 33, F₄, 3, 70) (dual of [(33, 3), 14, 71]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,28P) [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.