MinT - Information on Result #2762331

Information on Result #2762331

Linear OOA(2¹⁶⁶, 44, F₂, 4, 111) (dual of [(44, 4), 10, 112]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁶, 44, F₂, 4, 112) (dual of [(44, 4), 10, 113]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 10, F₂, 4, 24) (dual of [(10, 4), 10, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹²⁶, 34, F₂, 4, 87) (dual of [(34, 4), 10, 88]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁵⁸, 17, F₂, 4, 43) (dual of [(17, 4), 10, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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.