MinT - Information on Result #1115537

Information on Result #1115537

Linear OOA(2¹⁵⁷, 4194443, F₂, 5, 11) (dual of [(4194443, 5), 20972058, 12]-NRT-code), using (u,Â u+v)-construction 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]
linear OOA(2¹⁴⁰, 4194301, F₂, 5, 11) (dual of [(4194301, 5), 20971365, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹⁴⁰, 8388602, F₂, 3, 11) (dual of [(8388602, 3), 25165666, 12]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), using
    - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁵⁷, 4194442, F₂, 6, 11) (dual of [(4194442, 6), 25166495, 12]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2¹⁵⁷, 4194442, F₂, 7, 11) (dual of [(4194442, 7), 29360937, 12]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁷, 4194442, F₂, 8, 11) (dual of [(4194442, 8), 33555379, 12]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁷, 4194442, F₂, 15, 11) (dual of [(4194442, 15), 62916473, 12]-NRT-code)	[i]