MinT - Information on Result #2955218

Information on Result #2955218

Linear OOA(2²⁵¹, 37, F₂, 7, 205) (dual of [(37, 7), 8, 206]-NRT-code), using strength reduction based on linear OOA(2²⁵¹, 37, F₂, 7, 210) (dual of [(37, 7), 8, 211]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁵, 9, F₂, 7, 50) (dual of [(9, 7), 8, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸⁸, 28, F₂, 7, 159) (dual of [(28, 7), 8, 160]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁹⁰, 14, F₂, 7, 79) (dual of [(14, 7), 8, 80]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.