MinT - Information on Result #1179130

Information on Result #1179130

Digital (21, 30, 52)-net over F₂, using net defined by OOA based on linear OOA(2³⁰, 52, F₂, 9, 9) (dual of [(52, 9), 438, 10]-NRT-code), using

appending kth column [i] based on linear OOA(2³⁰, 52, F₂, 8, 9) (dual of [(52, 8), 386, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 32, F₂, 8, 4) (dual of [(32, 8), 246, 5]-NRT-code), using
    - appending 4 arbitrary columns [i] based on linear OOA(2¹⁰, 32, F₂, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 10, 32)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁰, 26, F₂, 8, 9) (dual of [(26, 8), 188, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (11, 20, 26)-net over F₂, using
      - linear code embedding found in a computer search [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	Digital (219, 237, 932119)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (219, 238, 932118)-net over F₂	[i]		(u,Â u+v)-Construction for Nets