MinT - Information on Result #2843317

Information on Result #2843317

Linear OOA(2¹⁸⁹, 39, F₂, 5, 149) (dual of [(39, 5), 6, 150]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁹, 39, F₂, 5, 151) (dual of [(39, 5), 6, 152]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁹, 9, F₂, 5, 34) (dual of [(9, 5), 6, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁴, 30, F₂, 5, 116) (dual of [(30, 5), 6, 117]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁴⁴, 10, F₂, 5, 38) (dual of [(10, 5), 6, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,11P) [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.