MinT - Information on Result #1115508

Information on Result #1115508

Linear OOA(2⁴⁴, 78, F₂, 5, 11) (dual of [(78, 5), 346, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹², 36, F₂, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹², 36, F₂, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (7, 12, 36)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2³², 42, F₂, 5, 11) (dual of [(42, 5), 178, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 20, F₂, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁰, 20, F₂, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²², 22, F₂, 5, 11) (dual of [(22, 5), 88, 12]-NRT-code), using
    - extracting embedded OOA [i] based on digital (11, 22, 22)-net over F₂, using
      - a shift-net [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2⁴⁴, 77, F₂, 6, 11) (dual of [(77, 6), 418, 12]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2⁴⁴, 77, F₂, 7, 11) (dual of [(77, 7), 495, 12]-NRT-code)	[i]
3	Linear OOA(2⁴⁴, 77, F₂, 8, 11) (dual of [(77, 8), 572, 12]-NRT-code)	[i]
4	Linear OOA(2⁴⁴, 77, F₂, 15, 11) (dual of [(77, 15), 1111, 12]-NRT-code)	[i]