MinT - Information on Result #1168437

Information on Result #1168437

Linear OOA(2¹⁰⁶, 14, F₂, 8, 80) (dual of [(14, 8), 6, 81]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁰⁶, 28, F₂, 4, 80) (dual of [(28, 4), 6, 81]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁶, 8, F₂, 4, 22) (dual of [(8, 4), 6, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷⁴, 20, F₂, 4, 57) (dual of [(20, 4), 6, 58]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.