MinT - Information on Result #2994894

Information on Result #2994894

Linear OOA(2²⁵⁷, 32, F₂, 8, 227), using 2 step truncation based on linear OOA(2²⁵⁹, 33, F₂, 8, 229) (dual of [(33, 8), 5, 230]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁹, 33, F₂, 8, 230) (dual of [(33, 8), 5, 231]-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(2²¹⁹, 28, F₂, 8, 195) (dual of [(28, 8), 5, 196]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2⁵¹, 7, F₂, 8, 48) (dual of [(7, 8), 5, 49]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(8;F,7P) [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, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.