MinT - Information on Result #1168100

Information on Result #1168100

Linear OOA(2¹⁹⁹, 38, F₂, 8, 68) (dual of [(38, 8), 105, 69]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁹⁹, 76, F₂, 4, 68) (dual of [(76, 4), 105, 69]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2¹⁹⁵, 75, F₂, 4, 68) (dual of [(75, 4), 105, 69]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷³, 33, F₂, 4, 34) (dual of [(33, 4), 59, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,97P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹²², 42, F₂, 4, 68) (dual of [(42, 4), 46, 69]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,99P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, 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.