MinT - Information on Result #2911945

Information on Result #2911945

Linear OOA(2¹⁹⁸, 34, F₂, 6, 156) (dual of [(34, 6), 6, 157]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁸, 34, F₂, 6, 164) (dual of [(34, 6), 6, 165]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶², 28, F₂, 6, 135) (dual of [(28, 6), 6, 136]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2³⁶, 7, F₂, 6, 33) (dual of [(7, 6), 6, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,8P) [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.