MinT - Information on Result #2767963

Information on Result #2767963

Linear OOA(2²⁵⁵, 67, F₂, 4, 161) (dual of [(67, 4), 13, 162]-NRT-code), using strength reduction based on linear OOA(2²⁵⁵, 67, F₂, 4, 162) (dual of [(67, 4), 13, 163]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁵, 17, F₂, 4, 40) (dual of [(17, 4), 13, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸⁷, 50, F₂, 4, 121) (dual of [(50, 4), 13, 122]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁵, 17, F₂, 4, 40) (dual of [(17, 4), 13, 41]-NRT-code) (see above)
    2. linear OOA(2¹¹⁹, 33, F₂, 4, 80) (dual of [(33, 4), 13, 81]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,51P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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.