MinT - Information on Result #894612

Information on Result #894612

Linear OOA(2⁷⁵, 40, F₂, 2, 40) (dual of [(40, 2), 5, 41]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁴, 19, F₂, 2, 20) (dual of [(19, 2), 4, 21]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2²¹, 11, F₂, 2, 20) (dual of [(11, 2), 1, 21]-NRT-code), using
    - strength reduction [i] based on 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(2⁴¹, 21, F₂, 2, 40) (dual of [(21, 2), 1, 41]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁴¹, 21, F₂, 2, 41) (dual of [(21, 2), 1, 42]-NRT-code), using
  - dual of repetition NRT-code with length 21 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁵⁶, 81, F₂, 2, 80) (dual of [(81, 2), 6, 81]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2¹⁵⁶, 81, F₂, 2, 81) (dual of [(81, 2), 6, 82]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs