MinT - Information on Result #1180422

Information on Result #1180422

Digital (30, 43, 54)-net over F₂, using net defined by OOA based on linear OOA(2⁴³, 54, F₂, 18, 13) (dual of [(54, 18), 929, 14]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁴³, 55, F₂, 6, 13) (dual of [(55, 6), 287, 14]-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(2²⁹, 29, F₂, 6, 13) (dual of [(29, 6), 145, 14]-NRT-code), using
    - extracting embedded OOA [i] based on digital (16, 29, 29)-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(2⁴³, 48, F₂, 3, 13) (dual of [(48, 3), 101, 14]-NRT-code)	[i]		Extracting Embedded OOA
2	Linear OOA(2⁴³, 48, F₂, 4, 13) (dual of [(48, 4), 149, 14]-NRT-code)	[i]
3	Linear OOA(2⁴³, 48, F₂, 5, 13) (dual of [(48, 5), 197, 14]-NRT-code)	[i]
4	Linear OOA(2⁴³, 48, F₂, 6, 13) (dual of [(48, 6), 245, 14]-NRT-code)	[i]