MinT - Information on Result #2948983

Information on Result #2948983

Linear OOA(2¹⁷⁵, 26, F₂, 7, 143) (dual of [(26, 7), 7, 144]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁵, 26, F₂, 7, 149) (dual of [(26, 7), 7, 150]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁹, 8, F₂, 7, 45) (dual of [(8, 7), 7, 46]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹⁹, 18, F₂, 7, 103) (dual of [(18, 7), 7, 104]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁵⁶, 9, F₂, 7, 51) (dual of [(9, 7), 7, 52]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.