MinT - Information on Result #2652239

Information on Result #2652239

Linear OOA(2⁹¹, 31, F₂, 3, 67) (dual of [(31, 3), 2, 68]-NRT-code), using 4 step truncation based on linear OOA(2⁹⁵, 33, F₂, 3, 71) (dual of [(33, 3), 4, 72]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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(2⁸⁰, 28, F₂, 3, 60) (dual of [(28, 3), 4, 61]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
    2. linear OOA(2⁶⁵, 23, F₂, 3, 49) (dual of [(23, 3), 4, 50]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
        linear OOA(2⁵⁰, 18, F₂, 3, 38) (dual of [(18, 3), 4, 39]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2¹⁴, 6, F₂, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;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.