MinT - Information on Result #2841891

Information on Result #2841891

Linear OOA(2¹⁶⁵, 34, F₂, 5, 132) (dual of [(34, 5), 5, 133]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁵, 34, F₂, 5, 135) (dual of [(34, 5), 5, 136]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2¹⁴⁰, 29, F₂, 5, 115) (dual of [(29, 5), 5, 116]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code) (see above)
    2. linear OOA(2¹¹⁵, 24, F₂, 5, 95) (dual of [(24, 5), 5, 96]-NRT-code), using
      - repeating each code word 4 times [i] based on linear OOA(2²⁵, 6, F₂, 5, 23) (dual of [(6, 5), 5, 24]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.