MinT - Information on Result #1175290

Information on Result #1175290

Linear OOA(2¹²³, 4194312, F₂, 8, 9) (dual of [(4194312, 8), 33554373, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷, 11, F₂, 8, 4) (dual of [(11, 8), 81, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(2⁷, 11, F₂, 4, 4) (dual of [(11, 4), 37, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁷, 11, F₂, 3, 4) (dual of [(11, 3), 26, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 7, 11)-net over F₂, using
      - hand-crafted matrix by Schmid and Wolf [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(2¹²³, 4194312, F₂, 9, 9) (dual of [(4194312, 9), 37748685, 10]-NRT-code)	[i]		Appending kth Column