MinT - Information on Result #1178832

Information on Result #1178832

Digital (22, 30, 67)-net over F₂, using net defined by OOA based on linear OOA(2³⁰, 67, F₂, 8, 8) (dual of [(67, 8), 506, 9]-NRT-code), using

appending kth column [i] based on linear OOA(2³⁰, 67, F₂, 7, 8) (dual of [(67, 7), 439, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 32, F₂, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
    - appending 3 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, 35, F₂, 7, 8) (dual of [(35, 7), 225, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 20, 35)-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 (198, 214, 1048642)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (198, 215, 1048642)-net over F₂	[i]		(u,Â u+v)-Construction for Nets