MinT - Information on Result #1180666

Information on Result #1180666

Digital (32, 46, 51)-net over F₂, using net defined by OOA based on linear OOA(2⁴⁶, 51, F₂, 21, 14) (dual of [(51, 21), 1025, 15]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁴⁶, 52, F₂, 7, 14) (dual of [(52, 7), 318, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 20, F₂, 7, 7) (dual of [(20, 7), 126, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁴, 20, F₂, 6, 7) (dual of [(20, 6), 106, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (7, 14, 20)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2³², 32, F₂, 7, 14) (dual of [(32, 7), 192, 15]-NRT-code), using
    - extracting embedded OOA [i] based on digital (18, 32, 32)-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(2⁴⁶, 50, F₂, 2, 14) (dual of [(50, 2), 54, 15]-NRT-code)	[i]		Extracting Embedded OOA
2	Linear OOA(2⁴⁶, 50, F₂, 3, 14) (dual of [(50, 3), 104, 15]-NRT-code)	[i]
3	Linear OOA(2⁴⁶, 50, F₂, 4, 14) (dual of [(50, 4), 154, 15]-NRT-code)	[i]
4	Linear OOA(2⁴⁶, 50, F₂, 5, 14) (dual of [(50, 5), 204, 15]-NRT-code)	[i]
5	Linear OOA(2⁴⁶, 50, F₂, 6, 14) (dual of [(50, 6), 254, 15]-NRT-code)	[i]
6	Linear OOA(2⁴⁶, 50, F₂, 7, 14) (dual of [(50, 7), 304, 15]-NRT-code)	[i]