MinT - Information on Result #1115448

Information on Result #1115448

Linear OOA(2⁴³, 82, F₂, 5, 10) (dual of [(82, 5), 367, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹³, 45, F₂, 5, 5) (dual of [(45, 5), 212, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹³, 45, F₂, 4, 5) (dual of [(45, 4), 167, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 13, 45)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2³⁰, 41, F₂, 5, 10) (dual of [(41, 5), 175, 11]-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(2²⁰, 21, F₂, 5, 10) (dual of [(21, 5), 85, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 20, 21)-net over F₂, using
      - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2⁴³, 81, F₂, 6, 10) (dual of [(81, 6), 443, 11]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2⁴³, 81, F₂, 7, 10) (dual of [(81, 7), 524, 11]-NRT-code)	[i]
3	Linear OOA(2⁴³, 81, F₂, 8, 10) (dual of [(81, 8), 605, 11]-NRT-code)	[i]
4	Linear OOA(2⁴³, 81, F₂, 15, 10) (dual of [(81, 15), 1172, 11]-NRT-code)	[i]