MinT - Information on Result #2844777

Information on Result #2844777

Linear OOA(2²¹⁰, 44, F₂, 5, 152) (dual of [(44, 5), 10, 153]-NRT-code), using strength reduction based on linear OOA(2²¹⁰, 44, F₂, 5, 156) (dual of [(44, 5), 10, 157]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁰, 10, F₂, 5, 34) (dual of [(10, 5), 10, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶⁰, 34, F₂, 5, 121) (dual of [(34, 5), 10, 122]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷⁵, 17, F₂, 5, 60) (dual of [(17, 5), 10, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.