MinT - Information on Result #1175296

Information on Result #1175296

Linear OOA(2¹²⁹, 4194381, F₂, 8, 9) (dual of [(4194381, 8), 33554919, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹³, 80, F₂, 8, 4) (dual of [(80, 8), 627, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(2¹³, 80, F₂, 4, 4) (dual of [(80, 4), 307, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹³, 80, F₂, 3, 4) (dual of [(80, 3), 227, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 13, 80)-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(2¹²⁹, 4194381, F₂, 9, 9) (dual of [(4194381, 9), 37749300, 10]-NRT-code)	[i]		Appending kth Column