MinT - Information on Result #2842932

Information on Result #2842932

Linear OOA(2¹⁸³, 38, F₂, 5, 135) (dual of [(38, 5), 7, 136]-NRT-code), using strength reduction based on linear OOA(2¹⁸³, 38, F₂, 5, 143) (dual of [(38, 5), 7, 144]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³³, 8, F₂, 5, 29) (dual of [(8, 5), 7, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴³, 30, F₂, 5, 113) (dual of [(30, 5), 7, 114]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.