MinT - Information on Result #1115554

Information on Result #1115554

Linear OOA(2¹⁸², 5242878, F₂, 5, 11) (dual of [(5242878, 5), 26214208, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴², 1048577, F₂, 5, 5) (dual of [(1048577, 5), 5242843, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2⁴², 1048577, F₂, 4, 5) (dual of [(1048577, 4), 4194266, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (37, 42, 1048577)-net over F₂, using
    - nets constructed from net-embeddable BCH codes [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(2¹⁸², 5242878, F₂, 5, 10) (dual of [(5242878, 5), 26214208, 11]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁸³, 5242878, F₂, 5, 11) (dual of [(5242878, 5), 26214207, 12]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2¹⁸², 5242877, F₂, 6, 11) (dual of [(5242877, 6), 31457080, 12]-NRT-code)	[i]	OOA Stacking with Additional Row
4	Linear OOA(2¹⁸², 5242877, F₂, 7, 11) (dual of [(5242877, 7), 36699957, 12]-NRT-code)	[i]
5	Linear OOA(2¹⁸², 5242877, F₂, 8, 11) (dual of [(5242877, 8), 41942834, 12]-NRT-code)	[i]
6	Linear OOA(2¹⁸², 5242877, F₂, 15, 11) (dual of [(5242877, 15), 78642973, 12]-NRT-code)	[i]