MinT - Information on Result #3244528

Information on Result #3244528

Digital (20, 24, large)-net over F₆₄, using t-expansion based on digital (19, 24, large)-net over F₆₄, using

(u,Â u+v)-construction [i] based on
1. digital (3, 5, large)-net over F₆₄, using
  - kÂ =Â 2 construction [i]
2. digital (14, 19, 4194366)-net over F₆₄, using
  - (u,Â u+v)-construction [i] based on
    1. digital (0, 2, 65)-net over F₆₄, using
      - kÂ =Â 2 construction [i]
    2. digital (12, 17, 4194301)-net over F₆₄, using
      - net defined by OOA [i] based on linear OOA(64¹⁷, 4194301, F₆₄, 5, 5) (dual of [(4194301, 5), 20971488, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(64¹⁷, large, F₆₄, 5) (dual of [large, large−17, 6]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’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 (21, 25, large)-net over F₆₄	[i]		Net Duplication
2	Digital (22, 26, large)-net over F₆₄	[i]
3	Digital (23, 27, large)-net over F₆₄	[i]
4	Digital (24, 28, large)-net over F₆₄	[i]
5	Digital (25, 29, large)-net over F₆₄	[i]
6	Digital (26, 30, large)-net over F₆₄	[i]