MinT - Information on Result #894608

Information on Result #894608

Linear OOA(2⁷², 40, F₂, 2, 38) (dual of [(40, 2), 8, 39]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³³, 20, F₂, 2, 19) (dual of [(20, 2), 7, 20]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 10, F₂, 2, 9) (dual of [(10, 2), 6, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 14, 10)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
    - dual of repetition NRT-code with length 10 [i]
linear OOA(2³⁹, 20, F₂, 2, 38) (dual of [(20, 2), 1, 39]-NRT-code), using
- strength reduction [i] based on linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
  - dual of repetition NRT-code with length 20 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁵¹, 80, F₂, 2, 76) (dual of [(80, 2), 9, 77]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2¹⁵¹, 80, F₂, 2, 77) (dual of [(80, 2), 9, 78]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs