MinT - Information on Result #1179973

Information on Result #1179973

Linear OOA(2³⁹, 57, F₂, 15, 11) (dual of [(57, 15), 816, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(2³⁹, 58, F₂, 5, 11) (dual of [(58, 5), 251, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. 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]
2. linear OOA(2²⁷, 29, F₂, 5, 11) (dual of [(29, 5), 118, 12]-NRT-code), using
  - extracting embedded OOA [i] based on digital (16, 27, 29)-net over F₂, using
    - 2 times m-reduction [i] based on digital (16, 29, 29)-net over F₂, using
      - a shift-net [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (28, 39, 57)-net over F₂	[i]		Net Defined by OOA