MinT - Information on Result #1233027

Information on Result #1233027

Digital (10, 15, 16928)-net over F₃₂, using generalized (u,Â u+v)-construction based on

digital (0, 0, 529)-net over F₃₂, using
- s-reduction based on digital (0, 0, s)-net over F₃₂ for arbitrarily large s, using
  - arbitrary set of 32⁰ points [i]
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 0, 529)-net over F₃₂ (see above)
digital (0, 1, 529)-net over F₃₂, using
- s-reduction based on digital (0, 1, s)-net over F₃₂ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 529)-net over F₃₂ (see above)
digital (0, 1, 529)-net over F₃₂ (see above)
digital (1, 3, 529)-net over F₃₂, using
- s-reduction based on digital (1, 3, 1057)-net over F₃₂, using
  - kÂ =Â 2 construction [i]
digital (4, 9, 529)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 2, 33)-net over F₃₂, using
    - kÂ =Â 2 construction [i]
  2. digital (2, 7, 496)-net over F₃₂, using
    - net defined by OOA [i] based on linear OOA(32⁷, 496, F₃₂, 5, 5) (dual of [(496, 5), 2473, 6]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
        a code by Danev and Olsson [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 (55, 66, 1694648)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (51, 61, 1694648)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets