MinT - Information on Result #1191130

Information on Result #1191130

Digital (42, 49, 2796200)-net over F₈, using net defined by OOA based on linear OOA(8⁴⁹, 2796200, F₈, 7, 7) (dual of [(2796200, 7), 19573351, 8]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OA(8⁴⁹, 8388601, F₈, 7) (dual of [8388601, 8388552, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8⁴⁹, large, F₈, 7) (dual of [large, large−49, 8]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (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 (139, 153, 2396760)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (140, 154, 2396770)-net over F₈	[i]
3	Digital (141, 155, 4793484)-net over F₈	[i]
4	Digital (148, 162, 4793502)-net over F₈	[i]
5	Digital (149, 163, 4793512)-net over F₈	[i]
6	Digital (150, 164, 4793518)-net over F₈	[i]
7	Digital (151, 165, 4793532)-net over F₈	[i]
8	Digital (152, 166, 4793534)-net over F₈	[i]
9	Digital (153, 167, 4793540)-net over F₈	[i]
10	Digital (154, 168, 4793614)-net over F₈	[i]
11	Digital (155, 169, 4793744)-net over F₈	[i]
12	Digital (157, 171, 4793804)-net over F₈	[i]
13	Digital (159, 173, 4793874)-net over F₈	[i]
14	Digital (146, 161, 2396760)-net over F₈	[i]
15	Digital (147, 162, 2396770)-net over F₈	[i]
16	Digital (148, 163, 4793484)-net over F₈	[i]
17	Digital (155, 170, 4793502)-net over F₈	[i]
18	Digital (156, 171, 4793512)-net over F₈	[i]
19	Digital (157, 172, 4793518)-net over F₈	[i]
20	Digital (158, 173, 4793532)-net over F₈	[i]
21	Digital (159, 173, 4795527)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
22	Digital (153, 167, 4793549)-net over F₈	[i]
23	Digital (153, 167, 4793567)-net over F₈	[i]
24	Digital (154, 168, 4793623)-net over F₈	[i]
25	Digital (154, 168, 4793632)-net over F₈	[i]
26	Digital (156, 170, 4793753)-net over F₈	[i]
27	Digital (157, 171, 4793817)-net over F₈	[i]
28	Digital (158, 172, 4793874)-net over F₈	[i]
29	Digital (156, 170, 4793760)-net over F₈	[i]
30	Digital (158, 172, 4793959)-net over F₈	[i]
31	Digital (157, 171, 4795518)-net over F₈	[i]
32	Digital (158, 172, 4795574)-net over F₈	[i]
33	Digital (159, 173, 4795630)-net over F₈	[i]
34	Digital (159, 173, 4795717)-net over F₈	[i]
35	Digital (158, 172, 4797534)-net over F₈	[i]
36	Digital (159, 173, 4797590)-net over F₈	[i]
37	Digital (150, 164, 4793521)-net over F₈	[i]
38	Digital (151, 165, 4793540)-net over F₈	[i]
39	Digital (151, 165, 4793558)-net over F₈	[i]
40	Digital (152, 166, 4793614)-net over F₈	[i]
41	Digital (152, 166, 4793623)-net over F₈	[i]
42	Digital (153, 167, 4793679)-net over F₈	[i]
43	Digital (154, 168, 4793744)-net over F₈	[i]
44	Digital (154, 168, 4793751)-net over F₈	[i]
45	Digital (155, 169, 4793807)-net over F₈	[i]
46	Digital (156, 170, 4793950)-net over F₈	[i]
47	Digital (155, 169, 4795509)-net over F₈	[i]
48	Digital (156, 170, 4795565)-net over F₈	[i]
49	Digital (157, 171, 4795708)-net over F₈	[i]
50	Digital (156, 170, 4797525)-net over F₈	[i]
51	Digital (157, 171, 4797581)-net over F₈	[i]
52	Digital (158, 172, 4797724)-net over F₈	[i]
53	Digital (159, 173, 4798211)-net over F₈	[i]
54	Digital (153, 168, 4793493)-net over F₈	[i]
55	Digital (154, 169, 4793498)-net over F₈	[i]
56	Digital (155, 170, 4793512)-net over F₈	[i]
57	Digital (157, 172, 4793549)-net over F₈	[i]
58	Digital (158, 173, 4793614)-net over F₈	[i]
59	Digital (145, 159, 4793493)-net over F₈	[i]
60	Digital (146, 160, 4793498)-net over F₈	[i]
61	Digital (147, 161, 4793512)-net over F₈	[i]
62	Digital (148, 162, 4793549)-net over F₈	[i]
63	Digital (149, 163, 4793614)-net over F₈	[i]
64	Digital (151, 165, 4793742)-net over F₈	[i]
65	Digital (152, 166, 4795500)-net over F₈	[i]
66	Digital (153, 167, 4797516)-net over F₈	[i]
67	Digital (155, 169, 4797582)-net over F₈	[i]
68	Digital (156, 170, 4797589)-net over F₈	[i]
69	Digital (157, 171, 4809870)-net over F₈	[i]
70	Digital (158, 172, 4809874)-net over F₈	[i]
71	Digital (159, 173, 4809879)-net over F₈	[i]
72	Digital (156, 170, 4797644)-net over F₈	[i]