MinT - Information on Result #1184714

Information on Result #1184714

Digital (165, 184, 932067)-net over F₃, using net defined by OOA based on linear OOA(3¹⁸⁴, 932067, F₃, 21, 19) (dual of [(932067, 21), 19573223, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁸⁴, 2796202, F₃, 3, 19) (dual of [(2796202, 3), 8388422, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁸¹, 2796201, F₃, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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		Method
1	Digital (166, 184, 932067)-net over F₃	[i]	t-Expansion
2	Digital (166, 185, 932067)-net over F₃	[i]	Net Duplication
3	Digital (167, 186, 932067)-net over F₃	[i]
4	Digital (168, 187, 932067)-net over F₃	[i]
5	Digital (169, 188, 932067)-net over F₃	[i]
6	Digital (170, 189, 932067)-net over F₃	[i]
7	Digital (165, 183, 932067)-net over F₃	[i]	m-Reduction
8	Digital (201, 220, 932395)-net over F₃	[i]	(u,Â u+v)-Construction for Nets