MinT - Information on Result #1168496

Information on Result #1168496

Linear OOA(2¹¹⁹, 16, F₂, 8, 82) (dual of [(16, 8), 9, 83]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁹, 32, F₂, 4, 82) (dual of [(32, 4), 9, 83]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁸³, 23, F₂, 4, 59) (dual of [(23, 4), 9, 60]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code) (see above)
    2. linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,19P) [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.