MinT - Information on Result #1009282

Information on Result #1009282

Linear OOA(2³⁴, 22, F₂, 3, 15) (dual of [(22, 3), 32, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 11, F₂, 3, 7) (dual of [(11, 3), 22, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
  - a shift-net [i]
linear OOA(2²³, 11, F₂, 3, 15) (dual of [(11, 3), 10, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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(2³⁴, 11, F₂, 5, 15) (dual of [(11, 5), 21, 16]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2³⁴, 11, F₂, 6, 15) (dual of [(11, 6), 32, 16]-NRT-code)	[i]		OOA Folding