MinT - Information on Result #2633088

Information on Result #2633088

Linear OOA(4¹⁷⁶, 61, F₄, 3, 140) (dual of [(61, 3), 7, 141]-NRT-code), using strength reduction based on linear OOA(4¹⁷⁶, 61, F₄, 3, 144) (dual of [(61, 3), 7, 145]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(4¹²⁵, 44, F₄, 3, 104) (dual of [(44, 3), 7, 105]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code) (see above)
    2. linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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.