MinT - Information on Result #2994714

Information on Result #2994714

Linear OOA(2¹⁸⁸, 24, F₂, 8, 168) (dual of [(24, 8), 4, 169]-NRT-code), using 32 step truncation based on linear OOA(2²²⁰, 28, F₂, 8, 200) (dual of [(28, 8), 4, 201]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸⁰, 23, F₂, 8, 164) (dual of [(23, 8), 4, 165]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
    2. linear OOA(2¹⁴⁰, 18, F₂, 8, 128) (dual of [(18, 8), 4, 129]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2⁴⁴, 6, F₂, 8, 42) (dual of [(6, 8), 4, 43]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.