MinT - Information on Result #2994719

Information on Result #2994719

Linear OOA(2¹⁶⁹, 21, F₂, 8, 149), using 1 step truncation based on linear OOA(2¹⁷⁰, 22, F₂, 8, 150) (dual of [(22, 8), 6, 151]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴², 6, F₂, 8, 40) (dual of [(6, 8), 6, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;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(2¹²², 16, F₂, 8, 109) (dual of [(16, 8), 6, 110]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁵⁸, 8, F₂, 8, 54) (dual of [(8, 8), 6, 55]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.