MinT - Information on Result #908854

Information on Result #908854

Linear OOA(2⁹⁹, 52, F₂, 2, 57) (dual of [(52, 2), 5, 58]-NRT-code), using juxtaposition based on

linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2⁸³, 44, F₂, 2, 48) (dual of [(44, 2), 5, 49]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
  2. linear OOA(2⁶⁷, 36, F₂, 2, 39) (dual of [(36, 2), 5, 40]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
        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]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹¹⁵, 60, F₂, 2, 66) (dual of [(60, 2), 5, 67]-NRT-code)	[i]		Juxtaposition for OOAs