MinT - Information on Result #908741

Information on Result #908741

Linear OOA(2¹⁵², 79, F₂, 2, 82) (dual of [(79, 2), 6, 83]-NRT-code), using juxtaposition based on

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]
linear OOA(2¹³⁰, 68, F₂, 2, 71) (dual of [(68, 2), 6, 72]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
      - dual of repetition NRT-code with length 9 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁷⁴, 90, F₂, 2, 93) (dual of [(90, 2), 6, 94]-NRT-code)	[i]		Juxtaposition for OOAs