MinT - Information on Result #2955092

Information on Result #2955092

Linear OOA(2²⁵⁰, 37, F₂, 7, 206) (dual of [(37, 7), 9, 207]-NRT-code), using strength reduction based on linear OOA(2²⁵⁰, 37, F₂, 7, 207) (dual of [(37, 7), 9, 208]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁴, 9, F₂, 7, 49) (dual of [(9, 7), 9, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,13P) [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(2¹⁸⁷, 28, F₂, 7, 157) (dual of [(28, 7), 9, 158]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁸⁹, 14, F₂, 7, 78) (dual of [(14, 7), 9, 79]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,19P) [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.