MinT - Information on Result #1198964

Information on Result #1198964

Digital (32, 41, 2097150)-net over F₃₂, using net defined by OOA based on linear OOA(32⁴¹, 2097150, F₃₂, 9, 9) (dual of [(2097150, 9), 18874309, 10]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OA(32⁴¹, 8388601, F₃₂, 9) (dual of [8388601, 8388560, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁴¹, large, F₃₂, 9) (dual of [large, large−41, 10]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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 (33, 42, 2097150)-net over F₃₂	[i]	Net Duplication
2	Digital (34, 43, 2097150)-net over F₃₂	[i]
3	Digital (35, 44, 2097150)-net over F₃₂	[i]
4	Digital (36, 45, 2097183)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
5	Digital (37, 46, 2097194)-net over F₃₂	[i]
6	Digital (38, 47, 2097646)-net over F₃₂	[i]
7	Digital (39, 48, 2097663)-net over F₃₂	[i]
8	Digital (40, 49, 2098205)-net over F₃₂	[i]
9	Digital (41, 50, 2098216)-net over F₃₂	[i]
10	Digital (42, 51, 2113535)-net over F₃₂	[i]
11	Digital (43, 52, 2113538)-net over F₃₂	[i]
12	Digital (44, 53, 2113582)-net over F₃₂	[i]
13	Digital (45, 54, 2621440)-net over F₃₂	[i]
14	Digital (46, 55, 2621443)-net over F₃₂	[i]
15	Digital (47, 56, 2621473)-net over F₃₂	[i]
16	Digital (40, 49, 2098206)-net over F₃₂	[i]
17	Digital (41, 50, 2098217)-net over F₃₂	[i]
18	Digital (51, 60, 4194333)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
19	Digital (52, 61, 4195325)-net over F₃₂	[i]
20	Digital (53, 62, 4197436)-net over F₃₂	[i]