MinT - Information on Result #1178833

Information on Result #1178833

Digital (23, 31, 71)-net over F₂, using net defined by OOA based on linear OOA(2³¹, 71, F₂, 8, 8) (dual of [(71, 8), 537, 9]-NRT-code), using

appending kth column [i] based on linear OOA(2³¹, 71, F₂, 7, 8) (dual of [(71, 7), 466, 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(2²¹, 39, F₂, 7, 8) (dual of [(39, 7), 252, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (13, 21, 39)-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 (199, 215, 1048646)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (199, 216, 1048646)-net over F₂	[i]		(u,Â u+v)-Construction for Nets