MinT - Information on Result #1221834

Information on Result #1221834

Digital (24, 29, large)-net over F₂₇, using (u,Â u+v)-construction based on

digital (4, 6, large)-net over F₂₇, using
- kÂ =Â 2 construction [i]
digital (18, 23, 4194329)-net over F₂₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 2, 28)-net over F₂₇, using
    - kÂ =Â 2 construction [i]
  2. digital (16, 21, 4194301)-net over F₂₇, using
    - net defined by OOA [i] based on linear OOA(27²¹, 4194301, F₂₇, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OA(27²¹, large, F₂₇, 5) (dual of [large, large−21, 6]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’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 (25, 29, large)-net over F₂₇	[i]		t-Expansion
2	Digital (26, 29, large)-net over F₂₇	[i]		t-Expansion
3	Digital (25, 30, large)-net over F₂₇	[i]		Net Duplication
4	Digital (26, 31, large)-net over F₂₇	[i]
5	Digital (27, 32, large)-net over F₂₇	[i]
6	Digital (28, 33, large)-net over F₂₇	[i]
7	Digital (29, 34, large)-net over F₂₇	[i]
8	Digital (30, 35, large)-net over F₂₇	[i]
9	Digital (31, 36, large)-net over F₂₇	[i]
10	Digital (32, 37, large)-net over F₂₇	[i]
11	Digital (33, 38, large)-net over F₂₇	[i]
12	Digital (34, 39, large)-net over F₂₇	[i]
13	Digital (24, 28, large)-net over F₂₇	[i]		m-Reduction
14	Digital (24, 27, large)-net over F₂₇	[i]		m-Reduction