MinT - Information on Result #2843733

Information on Result #2843733

Linear OOA(2¹⁹⁵, 41, F₂, 5, 144) (dual of [(41, 5), 10, 145]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁵, 41, F₂, 5, 145) (dual of [(41, 5), 10, 146]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁰, 14, F₂, 5, 49) (dual of [(14, 5), 10, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁵, 27, F₂, 5, 95) (dual of [(27, 5), 10, 96]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁴⁰, 10, F₂, 5, 34) (dual of [(10, 5), 10, 35]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(2⁷⁵, 17, F₂, 5, 60) (dual of [(17, 5), 10, 61]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.