MinT - Information on Result #1168555

Information on Result #1168555

Linear OOA(2¹²⁰, 16, F₂, 8, 84) (dual of [(16, 8), 8, 85]-NRT-code), using OOA 2-folding based on linear OOA(2¹²⁰, 32, F₂, 4, 84) (dual of [(32, 4), 8, 85]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁴, 8, F₂, 4, 20) (dual of [(8, 4), 8, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,11P) [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(2⁸⁸, 24, F₂, 4, 63) (dual of [(24, 4), 8, 64]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁴⁰, 12, F₂, 4, 31) (dual of [(12, 4), 8, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,16P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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.