MinT - Information on Result #2793916

Information on Result #2793916

Linear OOA(2¹⁹⁹, 76, F₂, 4, 68) (dual of [(76, 4), 105, 69]-NRT-code), using 1 times NRT-code embedding in larger space 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁹⁹, 38, F₂, 7, 68) (dual of [(38, 7), 67, 69]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁹⁹, 38, F₂, 8, 68) (dual of [(38, 8), 105, 69]-NRT-code)	[i]		OOA Folding