MinT - Information on Result #1168935

Information on Result #1168935

Linear OOA(2¹³⁶, 18, F₂, 8, 96) (dual of [(18, 8), 8, 97]-NRT-code), using OOA 2-folding based on linear OOA(2¹³⁶, 36, F₂, 4, 96) (dual of [(36, 4), 8, 97]-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(2¹⁰⁴, 28, F₂, 4, 75) (dual of [(28, 4), 8, 76]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁴⁸, 14, F₂, 4, 37) (dual of [(14, 4), 8, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.