MinT - Information on Result #2848556

Information on Result #2848556

Linear OOA(2²⁵⁵, 52, F₂, 5, 195) (dual of [(52, 5), 5, 196]-NRT-code), using strength reduction based on linear OOA(2²⁵⁵, 52, F₂, 5, 203) (dual of [(52, 5), 5, 204]-NRT-code), using

repeating each code word 4 times [i] based on linear OOA(2⁶⁰, 13, F₂, 5, 50) (dual of [(13, 5), 5, 51]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁶⁰, 13, F₂, 5, 51) (dual of [(13, 5), 5, 52]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;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(2³⁵, 8, F₂, 5, 31) (dual of [(8, 5), 5, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,8P) [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, 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.