MinT - Information on Result #1175294

Information on Result #1175294

Linear OOA(2¹²⁷, 4194348, F₂, 8, 9) (dual of [(4194348, 8), 33554657, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 47, F₂, 8, 4) (dual of [(47, 8), 365, 5]-NRT-code), using
- appending 4 arbitrary columns [i] 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(2¹¹⁶, 4194301, F₂, 8, 9) (dual of [(4194301, 8), 33554292, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] 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		This result only	Method
1	Linear OOA(2¹²⁷, 4194348, F₂, 9, 9) (dual of [(4194348, 9), 37749005, 10]-NRT-code)	[i]		Appending kth Column