MinT - Information on Result #1170651

Information on Result #1170651

Linear OOA(2¹⁷, 48, F₂, 8, 6) (dual of [(48, 8), 367, 7]-NRT-code), using appending 2 arbitrary columns based on linear OOA(2¹⁷, 48, F₂, 6, 6) (dual of [(48, 6), 271, 7]-NRT-code), using

appending kth column [i] based on linear OOA(2¹⁷, 48, F₂, 5, 6) (dual of [(48, 5), 223, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 17, 48)-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(2¹⁵⁵, 1398148, F₂, 8, 12) (dual of [(1398148, 8), 11185029, 13]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(2²⁶⁰, 4194349, F₂, 8, 12) (dual of [(4194349, 8), 33554532, 13]-NRT-code)	[i]
3	Linear OOA(2⁵⁸, 98, F₂, 8, 13) (dual of [(98, 8), 726, 14]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁶, 1398148, F₂, 8, 13) (dual of [(1398148, 8), 11185028, 14]-NRT-code)	[i]