MinT - Information on Result #2913333

Information on Result #2913333

Linear OOA(2²¹⁷, 37, F₂, 6, 180) (dual of [(37, 6), 5, 181]-NRT-code), using strength reduction based on linear OOA(2²¹⁷, 37, F₂, 6, 184) (dual of [(37, 6), 5, 185]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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(2¹⁸⁷, 32, F₂, 6, 159) (dual of [(32, 6), 5, 160]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2⁴³, 8, F₂, 6, 39) (dual of [(8, 6), 5, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;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.