MinT - Information on Result #1205548

Information on Result #1205548

Digital (71, 82, 3355440)-net over F₉, 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 (72, 83, 3355440)-net over F₉	[i]	Net Duplication
2	Digital (73, 84, 3355440)-net over F₉	[i]
3	Digital (74, 85, 3355440)-net over F₉	[i]
4	Digital (75, 86, 3355440)-net over F₉	[i]
5	Digital (76, 87, 3355450)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
6	Digital (77, 88, 3355456)-net over F₉	[i]
7	Digital (78, 89, 3355476)-net over F₉	[i]
8	Digital (80, 91, 3355522)-net over F₉	[i]
9	Digital (81, 92, 3355604)-net over F₉	[i]
10	Digital (83, 94, 3355640)-net over F₉	[i]
11	Digital (84, 95, 3358680)-net over F₉	[i]
12	Digital (85, 96, 3361920)-net over F₉	[i]
13	Digital (86, 97, 3361921)-net over F₉	[i]
14	Digital (87, 98, 3361930)-net over F₉	[i]
15	Digital (88, 99, 3362011)-net over F₉	[i]
16	Digital (89, 100, 3362740)-net over F₉	[i]
17	Digital (90, 101, 3368401)-net over F₉	[i]
18	Digital (91, 102, 3374882)-net over F₉	[i]
19	Digital (92, 103, 3384966)-net over F₉	[i]
20	Digital (93, 104, 3413768)-net over F₉	[i]
21	Digital (95, 106, 3413858)-net over F₉	[i]
22	Digital (96, 107, 3621163)-net over F₉	[i]
23	Digital (97, 108, 3886883)-net over F₉	[i]
24	Digital (98, 109, 3886884)-net over F₉	[i]
25	Digital (99, 110, 3886893)-net over F₉	[i]
26	Digital (100, 111, 5746927)-net over F₉	[i]
27	Digital (101, 112, 5746932)-net over F₉	[i]
28	Digital (102, 113, 5746937)-net over F₉	[i]
29	Digital (103, 114, 5747018)-net over F₉	[i]
30	Digital (104, 115, 6710880)-net over F₉	[i]
31	Digital (94, 105, 3413769)-net over F₉	[i]
32	(82, 93, 3355791)-net in base 9	[i]
33	(103, 114, 6710880)-net in base 9	[i]
34	Digital (110, 121, 6710972)-net over F₉	[i]	Generalized (u,Â u+v)-Construction for Nets
35	Digital (111, 122, 6711044)-net over F₉	[i]
36	Digital (111, 122, 6711102)-net over F₉	[i]
37	Digital (111, 122, 7158757)-net over F₉	[i]
38	Digital (112, 123, 8138414)-net over F₉	[i]
39	Digital (107, 118, 6710890)-net over F₉	[i]
40	Digital (108, 119, 6710962)-net over F₉	[i]
41	Digital (109, 120, 6711092)-net over F₉	[i]
42	Digital (110, 121, 6711720)-net over F₉	[i]