MinT - Information on Result #894622

Information on Result #894622

Linear OOA(2⁸⁰, 44, F₂, 2, 42) (dual of [(44, 2), 8, 43]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁷, 22, F₂, 2, 21) (dual of [(22, 2), 7, 22]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 11, F₂, 2, 10) (dual of [(11, 2), 6, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 16, 11)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2²¹, 11, F₂, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
    - dual of repetition NRT-code with length 11 [i]
linear OOA(2⁴³, 22, F₂, 2, 42) (dual of [(22, 2), 1, 43]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁴³, 22, F₂, 2, 43) (dual of [(22, 2), 1, 44]-NRT-code), using
  - dual of repetition NRT-code with length 22 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁶⁷, 88, F₂, 2, 84) (dual of [(88, 2), 9, 85]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2¹⁶⁷, 88, F₂, 2, 85) (dual of [(88, 2), 9, 86]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs