MinT - Information on Result #1079245

Information on Result #1079245

Linear OOA(2³², 78, F₂, 4, 8) (dual of [(78, 4), 280, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 47, F₂, 4, 4) (dual of [(47, 4), 177, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹¹, 47, F₂, 3, 4) (dual of [(47, 3), 130, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (7, 11, 47)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2²¹, 39, F₂, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F₂, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2³³, 78, F₂, 4, 8) (dual of [(78, 4), 279, 9]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2³⁴, 78, F₂, 4, 8) (dual of [(78, 4), 278, 9]-NRT-code)	[i]
3	Linear OOA(2³⁵, 78, F₂, 4, 8) (dual of [(78, 4), 277, 9]-NRT-code)	[i]
4	Linear OOA(2²¹⁶, 2097228, F₂, 4, 16) (dual of [(2097228, 4), 8388696, 17]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(2²¹⁸, 2097229, F₂, 4, 16) (dual of [(2097229, 4), 8388698, 17]-NRT-code)	[i]
6	Linear OOA(2²¹⁷, 2097228, F₂, 4, 17) (dual of [(2097228, 4), 8388695, 18]-NRT-code)	[i]
7	Linear OOA(2²¹⁹, 2097229, F₂, 4, 17) (dual of [(2097229, 4), 8388697, 18]-NRT-code)	[i]
8	Linear OOA(2³², 77, F₂, 5, 8) (dual of [(77, 5), 353, 9]-NRT-code)	[i]	OOA Stacking with Additional Row
9	Linear OOA(2³², 77, F₂, 6, 8) (dual of [(77, 6), 430, 9]-NRT-code)	[i]
10	Linear OOA(2³², 77, F₂, 7, 8) (dual of [(77, 7), 507, 9]-NRT-code)	[i]
11	Linear OOA(2³², 77, F₂, 8, 8) (dual of [(77, 8), 584, 9]-NRT-code)	[i]