MinT - Information on Result #2918940

Information on Result #2918940

Linear OOA(2¹⁷⁰, 29, F₂, 6, 146) (dual of [(29, 6), 4, 147]-NRT-code), using 24 step truncation based on linear OOA(2¹⁹⁴, 33, F₂, 6, 170) (dual of [(33, 6), 4, 171]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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(2¹⁶⁴, 28, F₂, 6, 144) (dual of [(28, 6), 4, 145]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
    2. linear OOA(2¹³⁴, 23, F₂, 6, 118) (dual of [(23, 6), 4, 119]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
        linear OOA(2¹⁰⁴, 18, F₂, 6, 92) (dual of [(18, 6), 4, 93]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2³², 6, F₂, 6, 30) (dual of [(6, 6), 4, 31]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;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.