MinT - Information on Result #2994496

Information on Result #2994496

Linear OOA(2¹⁴⁵, 18, F₂, 8, 130), using 2 step truncation based on linear OOA(2¹⁴⁷, 19, F₂, 8, 132) (dual of [(19, 8), 5, 133]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰⁷, 14, F₂, 8, 97) (dual of [(14, 8), 5, 98]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁵¹, 7, F₂, 8, 48) (dual of [(7, 8), 5, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.