MinT - Information on Result #2611405

Information on Result #2611405

Linear OOA(2¹⁰⁶, 37, F₂, 3, 72) (dual of [(37, 3), 5, 73]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁶, 37, F₂, 3, 73) (dual of [(37, 3), 5, 74]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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(2⁹¹, 32, F₂, 3, 63) (dual of [(32, 3), 5, 64]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2¹⁹, 8, F₂, 3, 15) (dual of [(8, 3), 5, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.