MinT - Information on Result #2859951

Information on Result #2859951

Linear OOA(2⁶⁷, 14, F₂, 5, 57) (dual of [(14, 5), 3, 58]-NRT-code), using 9 step truncation based on linear OOA(2⁷⁶, 16, F₂, 5, 66) (dual of [(16, 5), 4, 67]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2⁵¹, 11, F₂, 5, 45) (dual of [(11, 5), 4, 46]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
    2. linear OOA(2²⁶, 6, F₂, 5, 24) (dual of [(6, 5), 4, 25]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;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.