MinT - Information on Result #1170620

Information on Result #1170620

Linear OOA(2¹⁷, 142, F₂, 8, 5) (dual of [(142, 8), 1119, 6]-NRT-code), using appending 3 arbitrary columns based on linear OOA(2¹⁷, 142, F₂, 5, 5) (dual of [(142, 5), 693, 6]-NRT-code), using

appending kth column [i] based on linear OOA(2¹⁷, 142, F₂, 4, 5) (dual of [(142, 4), 551, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 17, 142)-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		Method
1	Linear OOA(2¹³², 1677862, F₂, 8, 10) (dual of [(1677862, 8), 13422764, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(2¹³³, 1677862, F₂, 8, 11) (dual of [(1677862, 8), 13422763, 12]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁷, 4194443, F₂, 8, 11) (dual of [(4194443, 8), 33555387, 12]-NRT-code)	[i]