MinT - Information on Result #3242374

Information on Result #3242374

Digital (25, 29, large)-net over F₃₂, using t-expansion based on digital (24, 29, large)-net over F₃₂, using

(u,Â u+v)-construction [i] based on
1. digital (4, 6, large)-net over F₃₂, using
  - kÂ =Â 2 construction [i]
2. digital (18, 23, 4194334)-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 (16, 21, 4194301)-net over F₃₂, using
      - net defined by OOA [i] based on linear OOA(32²¹, 4194301, F₃₂, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(32²¹, large, F₃₂, 5) (dual of [large, large−21, 6]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (26, 30, large)-net over F₃₂	[i]		Net Duplication
2	Digital (27, 31, large)-net over F₃₂	[i]
3	Digital (28, 32, large)-net over F₃₂	[i]
4	Digital (29, 33, large)-net over F₃₂	[i]