MinT - Information on Result #1205187

Information on Result #1205187

Digital (153, 164, 6710880)-net over F₃, using trace code for nets based on digital (30, 41, 1677720)-net over F₈₁, using

net defined by OOA [i] based on linear OOA(81⁴¹, 1677720, F₈₁, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(81⁴¹, 8388601, F₈₁, 11) (dual of [8388601, 8388560, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(81⁴¹, large, F₈₁, 11) (dual of [large, large−41, 12]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (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 (154, 165, 6710880)-net over F₃	[i]	Net Duplication
2	Digital (155, 166, 6710880)-net over F₃	[i]
3	Digital (156, 167, 6710880)-net over F₃	[i]
4	Digital (157, 168, 6710880)-net over F₃	[i]
5	Digital (158, 169, 6710884)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
6	Digital (159, 170, 6710887)-net over F₃	[i]
7	Digital (160, 171, 6710891)-net over F₃	[i]
8	Digital (161, 172, 6710898)-net over F₃	[i]
9	Digital (162, 173, 6710908)-net over F₃	[i]
10	Digital (163, 174, 6710918)-net over F₃	[i]
11	Digital (164, 175, 6710957)-net over F₃	[i]
12	Digital (165, 176, 6710975)-net over F₃	[i]
13	Digital (166, 177, 6710983)-net over F₃	[i]
14	Digital (168, 179, 6710997)-net over F₃	[i]
15	Digital (169, 180, 6711037)-net over F₃	[i]
16	Digital (170, 181, 6711111)-net over F₃	[i]
17	Digital (171, 182, 6711165)-net over F₃	[i]
18	Digital (172, 183, 6711247)-net over F₃	[i]
19	Digital (173, 184, 6711250)-net over F₃	[i]
20	Digital (174, 185, 6711934)-net over F₃	[i]
21	Digital (175, 186, 6711976)-net over F₃	[i]
22	Digital (176, 187, 6711977)-net over F₃	[i]
23	Digital (177, 188, 6711980)-net over F₃	[i]
24	Digital (178, 189, 6714164)-net over F₃	[i]
25	Digital (179, 190, 6717360)-net over F₃	[i]
26	Digital (180, 191, 6717361)-net over F₃	[i]
27	Digital (181, 192, 6723841)-net over F₃	[i]
28	Digital (182, 193, 6723842)-net over F₃	[i]
29	Digital (183, 194, 6723845)-net over F₃	[i]
30	Digital (184, 195, 6740409)-net over F₃	[i]
31	Linear OOA(3¹⁶⁴, 6710880, F₃, 5, 11) (dual of [(6710880, 5), 33554236, 12]-NRT-code)	[i]	Extracting Embedded OOA