MinT - Information on Result #894652

Information on Result #894652

Linear OOA(2¹⁰⁴, 56, F₂, 2, 54) (dual of [(56, 2), 8, 55]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴⁹, 28, F₂, 2, 27) (dual of [(28, 2), 7, 28]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²², 14, F₂, 2, 13) (dual of [(14, 2), 6, 14]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁹, 9, F₂, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
        a shift-net [i]
      2. linear OOA(2¹³, 7, F₂, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
        dual of repetition NRT-code with length 7 [i]
  2. linear OOA(2²⁷, 14, F₂, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
linear OOA(2⁵⁵, 28, F₂, 2, 54) (dual of [(28, 2), 1, 55]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁵⁵, 28, F₂, 2, 55) (dual of [(28, 2), 1, 56]-NRT-code), using
  - dual of repetition NRT-code with length 28 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²¹⁵, 112, F₂, 2, 109) (dual of [(112, 2), 9, 110]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs