MinT - Information on Result #1205186

Information on Result #1205186

Digital (138, 148, 6710880)-net over F₃, using trace code for nets based on digital (27, 37, 1677720)-net over F₈₁, using

net defined by OOA [i] based on linear OOA(81³⁷, 1677720, F₈₁, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(81³⁷, 8388600, F₈₁, 10) (dual of [8388600, 8388563, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³⁷, large, F₈₁, 10) (dual of [large, large−37, 11]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (139, 149, 6710880)-net over F₃	[i]	Net Duplication
2	Digital (140, 150, 6710880)-net over F₃	[i]
3	Digital (141, 151, 6710880)-net over F₃	[i]
4	Digital (142, 152, 6710880)-net over F₃	[i]
5	Digital (143, 153, 6710884)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
6	Digital (144, 154, 6710887)-net over F₃	[i]
7	Digital (145, 155, 6710891)-net over F₃	[i]
8	Digital (146, 156, 6710898)-net over F₃	[i]
9	Digital (147, 157, 6710908)-net over F₃	[i]
10	Digital (148, 158, 6710918)-net over F₃	[i]
11	Digital (149, 159, 6710957)-net over F₃	[i]
12	Digital (150, 160, 6710975)-net over F₃	[i]
13	Digital (151, 161, 6710983)-net over F₃	[i]
14	Digital (153, 163, 6710997)-net over F₃	[i]
15	Digital (154, 164, 6711037)-net over F₃	[i]
16	Digital (155, 165, 6711111)-net over F₃	[i]
17	Digital (156, 166, 6711165)-net over F₃	[i]
18	Digital (157, 167, 6711247)-net over F₃	[i]
19	Digital (158, 168, 6711250)-net over F₃	[i]
20	Digital (159, 169, 6711934)-net over F₃	[i]
21	Digital (160, 170, 6711976)-net over F₃	[i]
22	Digital (161, 171, 6711977)-net over F₃	[i]
23	Digital (162, 172, 6711980)-net over F₃	[i]
24	Digital (163, 173, 6714164)-net over F₃	[i]
25	Digital (164, 174, 6717360)-net over F₃	[i]
26	Digital (165, 175, 6717361)-net over F₃	[i]
27	Digital (166, 176, 6723841)-net over F₃	[i]
28	Digital (167, 177, 6723842)-net over F₃	[i]
29	Digital (168, 178, 6723845)-net over F₃	[i]
30	Digital (169, 179, 6740409)-net over F₃	[i]
31	Digital (170, 180, 6740410)-net over F₃	[i]
32	Linear OOA(3¹⁴⁸, 6710880, F₃, 5, 10) (dual of [(6710880, 5), 33554252, 11]-NRT-code)	[i]	Extracting Embedded OOA