MinT - Information on Result #894100

Information on Result #894100

Linear OOA(2³⁰, 41, F₂, 2, 10) (dual of [(41, 2), 52, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰, 20, F₂, 2, 5) (dual of [(20, 2), 30, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2²⁰, 21, F₂, 2, 10) (dual of [(21, 2), 22, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 21)-net over F₂, using
  - linear code embedding found in a computer search [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(2²⁶⁰, 4194342, F₂, 2, 20) (dual of [(4194342, 2), 8388424, 21]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2³⁰, 20, F₂, 4, 10) (dual of [(20, 4), 50, 11]-NRT-code)	[i]		OOA Folding