MinT - Information on Result #1179120

Information on Result #1179120

Digital (16, 25, 34)-net over F₂, using net defined by OOA based on linear OOA(2²⁵, 34, F₂, 9, 9) (dual of [(34, 9), 281, 10]-NRT-code), using

appending kth column [i] based on linear OOA(2²⁵, 34, F₂, 8, 9) (dual of [(34, 8), 247, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸, 17, F₂, 8, 4) (dual of [(17, 8), 128, 5]-NRT-code), using
    - appending 4 arbitrary columns [i] based on linear OOA(2⁸, 17, F₂, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2⁸, 17, F₂, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (4, 8, 17)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(2¹⁷, 17, F₂, 8, 9) (dual of [(17, 8), 119, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 17, 17)-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	Digital (214, 232, 932101)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (214, 233, 932100)-net over F₂	[i]		(u,Â u+v)-Construction for Nets