MinT - Information on Result #1180170

Information on Result #1180170

Digital (27, 39, 49)-net over F₂, using net defined by OOA based on linear OOA(2³⁹, 49, F₂, 18, 12) (dual of [(49, 18), 843, 13]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2³⁹, 50, F₂, 6, 12) (dual of [(50, 6), 261, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 26, F₂, 6, 6) (dual of [(26, 6), 142, 7]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁴, 26, F₂, 5, 6) (dual of [(26, 5), 116, 7]-NRT-code), using
      - extracting embedded OOA [i] based on digital (8, 14, 26)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁵, 25, F₂, 6, 12) (dual of [(25, 6), 125, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (13, 25, 25)-net over F₂, using
      - a shift-net [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2³⁹, 44, F₂, 2, 12) (dual of [(44, 2), 49, 13]-NRT-code)	[i]		Extracting Embedded OOA
2	Linear OOA(2³⁹, 44, F₂, 3, 12) (dual of [(44, 3), 93, 13]-NRT-code)	[i]
3	Linear OOA(2³⁹, 44, F₂, 4, 12) (dual of [(44, 4), 137, 13]-NRT-code)	[i]
4	Linear OOA(2³⁹, 44, F₂, 5, 12) (dual of [(44, 5), 181, 13]-NRT-code)	[i]
5	Linear OOA(2³⁹, 44, F₂, 6, 12) (dual of [(44, 6), 225, 13]-NRT-code)	[i]