MinT - Information on Result #2845139

Information on Result #2845139

Linear OOA(2²¹⁵, 46, F₂, 5, 147) (dual of [(46, 5), 15, 148]-NRT-code), using strength reduction based on linear OOA(2²¹⁵, 46, F₂, 5, 149) (dual of [(46, 5), 15, 150]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁰, 15, F₂, 5, 47) (dual of [(15, 5), 15, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,27P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁰, 31, F₂, 5, 101) (dual of [(31, 5), 15, 102]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹⁴⁰, 32, F₂, 5, 101) (dual of [(32, 5), 20, 102]-NRT-code), using
    - algebraic-geometric NRT-code AG(5;F,58P) [i] based on function field F/F₂ with g(F) = 39 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.