MinT - Information on Result #2841058

Information on Result #2841058

Linear OOA(2¹⁵⁰, 31, F₂, 5, 118) (dual of [(31, 5), 5, 119]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁰, 31, F₂, 5, 123) (dual of [(31, 5), 5, 124]-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(2¹²⁵, 26, F₂, 5, 103) (dual of [(26, 5), 5, 104]-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(2¹⁰⁰, 21, F₂, 5, 83) (dual of [(21, 5), 5, 84]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2³⁰, 7, F₂, 5, 27) (dual of [(7, 5), 5, 28]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;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, 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.