MinT - Information on Result #2986168

Information on Result #2986168

Linear OOA(2¹⁷⁹, 23, F₂, 8, 158) (dual of [(23, 8), 5, 159]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁹, 23, F₂, 8, 160) (dual of [(23, 8), 5, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;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(2¹³⁹, 18, F₂, 8, 125) (dual of [(18, 8), 5, 126]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁴³, 6, F₂, 8, 41) (dual of [(6, 8), 5, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;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.