MinT - Information on Result #1079390

Information on Result #1079390

Linear OOA(2¹³⁶, 4195326, F₂, 4, 9) (dual of [(4195326, 4), 16781168, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁰, 1025, F₂, 4, 4) (dual of [(1025, 4), 4080, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2²⁰, 1025, F₂, 3, 4) (dual of [(1025, 3), 3055, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (16, 20, 1025)-net over F₂, using
    - nets constructed from net-embeddable BCH codes [i]
linear OOA(2¹¹⁶, 4194301, F₂, 4, 9) (dual of [(4194301, 4), 16777088, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹¹⁶, 8388602, F₂, 2, 9) (dual of [(8388602, 2), 16777088, 10]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹¹⁶, large, F₂, 2, 9), using
    - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹³⁶, 4195326, F₂, 4, 8) (dual of [(4195326, 4), 16781168, 9]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹³⁷, 4195326, F₂, 4, 9) (dual of [(4195326, 4), 16781167, 10]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2¹³⁶, 4195325, F₂, 5, 9) (dual of [(4195325, 5), 20976489, 10]-NRT-code)	[i]	OOA Stacking with Additional Row
4	Linear OOA(2¹³⁶, 4195325, F₂, 6, 9) (dual of [(4195325, 6), 25171814, 10]-NRT-code)	[i]
5	Linear OOA(2¹³⁶, 4195325, F₂, 7, 9) (dual of [(4195325, 7), 29367139, 10]-NRT-code)	[i]
6	Linear OOA(2¹³⁶, 4195325, F₂, 8, 9) (dual of [(4195325, 8), 33562464, 10]-NRT-code)	[i]