MinT - Information on Result #1179672

Information on Result #1179672

Digital (9, 13, 4194301)-net over F₆₄, using net defined by OOA based on linear OOA(64¹³, 4194301, F₆₄, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using

appending kth column [i] based on linear OOA(64¹³, 4194301, F₆₄, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(64¹³, 8388602, F₆₄, 4) (dual of [8388602, 8388589, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, large, F₆₄, 4) (dual of [large, large−13, 5]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (10, 14, 4194301)-net over F₆₄	[i]	Net Duplication
2	Digital (38, 46, 4194430)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
3	Digital (39, 47, 4194460)-net over F₆₄	[i]
4	Digital (40, 48, 4198332)-net over F₆₄	[i]
5	Digital (41, 49, 4198398)-net over F₆₄	[i]
6	Digital (42, 50, 4202620)-net over F₆₄	[i]
7	Digital (43, 51, 4202650)-net over F₆₄	[i]
8	Digital (44, 52, 4456446)-net over F₆₄	[i]
9	Digital (45, 53, 4456452)-net over F₆₄	[i]
10	Digital (46, 54, 4456576)-net over F₆₄	[i]
11	Digital (47, 55, 8388600)-net over F₆₄	[i]
12	Digital (49, 57, 8388602)-net over F₆₄	[i]
13	Digital (51, 59, large)-net over F₆₄	[i]
14	Digital (41, 50, 4194430)-net over F₆₄	[i]
15	Digital (42, 51, 4194460)-net over F₆₄	[i]
16	Digital (43, 52, 4198332)-net over F₆₄	[i]
17	Digital (44, 53, 4198398)-net over F₆₄	[i]
18	Digital (45, 54, 4202620)-net over F₆₄	[i]
19	Digital (46, 55, 4202650)-net over F₆₄	[i]
20	Digital (47, 56, 4456446)-net over F₆₄	[i]
21	Digital (48, 57, 4456452)-net over F₆₄	[i]
22	Digital (49, 58, 4456576)-net over F₆₄	[i]
23	Digital (50, 59, 8388600)-net over F₆₄	[i]
24	Digital (52, 61, 8388602)-net over F₆₄	[i]
25	Digital (54, 63, large)-net over F₆₄	[i]
26	Digital (48, 57, 4464962)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
27	Digital (77, 90, 4194495)-net over F₆₄	[i]
28	Digital (74, 86, 4194495)-net over F₆₄	[i]
29	Digital (78, 90, 5592530)-net over F₆₄	[i]
30	Digital (46, 55, 4210688)-net over F₆₄	[i]
31	Digital (47, 56, 4464897)-net over F₆₄	[i]
32	Digital (48, 57, 4477185)-net over F₆₄	[i]
33	Digital (48, 57, 6291645)-net over F₆₄	[i]
34	Digital (42, 50, 4460800)-net over F₆₄	[i]
35	Digital (75, 88, 4194430)-net over F₆₄	[i]
36	Digital (76, 89, 4198462)-net over F₆₄	[i]
37	Digital (77, 90, 4202494)-net over F₆₄	[i]
38	Digital (77, 90, 4202630)-net over F₆₄	[i]
39	Digital (72, 84, 4194430)-net over F₆₄	[i]
40	Digital (73, 85, 4198462)-net over F₆₄	[i]
41	Digital (74, 86, 4202494)-net over F₆₄	[i]
42	Digital (74, 86, 4202630)-net over F₆₄	[i]
43	Digital (76, 88, 5592465)-net over F₆₄	[i]
44	Digital (77, 89, 5596561)-net over F₆₄	[i]
45	Digital (78, 90, 5858705)-net over F₆₄	[i]
46	Digital (79, 91, 6990500)-net over F₆₄	[i]
47	Digital (44, 53, 4198527)-net over F₆₄	[i]
48	Digital (45, 54, 4206591)-net over F₆₄	[i]
49	Digital (46, 55, 4210887)-net over F₆₄	[i]
50	Digital (46, 55, 4464832)-net over F₆₄	[i]
51	Digital (47, 56, 4473024)-net over F₆₄	[i]
52	Digital (47, 56, 6291580)-net over F₆₄	[i]
53	Digital (48, 57, 6299772)-net over F₆₄	[i]
54	Digital (40, 48, 4198591)-net over F₆₄	[i]
55	Digital (41, 49, 4206783)-net over F₆₄	[i]
56	Digital (41, 49, 4460735)-net over F₆₄	[i]
57	Digital (42, 50, 4468927)-net over F₆₄	[i]
58	Digital (42, 50, 6291580)-net over F₆₄	[i]
59	Digital (73, 86, 4194365)-net over F₆₄	[i]
60	Digital (74, 87, 4198397)-net over F₆₄	[i]
61	Digital (75, 88, 4202565)-net over F₆₄	[i]
62	Digital (76, 89, 4464702)-net over F₆₄	[i]
63	Digital (77, 90, 5592400)-net over F₆₄	[i]
64	Digital (70, 82, 4194365)-net over F₆₄	[i]
65	Digital (71, 83, 4198397)-net over F₆₄	[i]
66	Digital (72, 84, 4202565)-net over F₆₄	[i]
67	Digital (73, 85, 4464702)-net over F₆₄	[i]
68	Digital (74, 86, 5592400)-net over F₆₄	[i]
69	Digital (43, 52, 4198462)-net over F₆₄	[i]
70	Digital (44, 53, 4202494)-net over F₆₄	[i]
71	Digital (44, 53, 4202630)-net over F₆₄	[i]
72	Digital (45, 54, 4206726)-net over F₆₄	[i]
73	Digital (45, 54, 4464767)-net over F₆₄	[i]
74	Digital (46, 55, 4468863)-net over F₆₄	[i]
75	Digital (46, 55, 6291515)-net over F₆₄	[i]
76	Digital (47, 56, 6295611)-net over F₆₄	[i]
77	Digital (48, 57, 6557755)-net over F₆₄	[i]
78	Digital (39, 47, 4198526)-net over F₆₄	[i]
79	Digital (40, 48, 4202622)-net over F₆₄	[i]
80	Digital (40, 48, 4460670)-net over F₆₄	[i]
81	Digital (41, 49, 4464766)-net over F₆₄	[i]
82	Digital (41, 49, 6291515)-net over F₆₄	[i]
83	Digital (42, 50, 6295611)-net over F₆₄	[i]
84	Digital (77, 91, 3595113)-net over F₆₄	[i]
85	Digital (40, 49, 4194365)-net over F₆₄	[i]
86	Digital (41, 50, 4198397)-net over F₆₄	[i]
87	Digital (42, 51, 4202565)-net over F₆₄	[i]
88	Digital (43, 52, 4464702)-net over F₆₄	[i]
89	Digital (44, 53, 6291450)-net over F₆₄	[i]
90	Digital (36, 44, 4194365)-net over F₆₄	[i]
91	Digital (37, 45, 4198461)-net over F₆₄	[i]
92	Digital (38, 46, 4460605)-net over F₆₄	[i]
93	Digital (39, 47, 6291450)-net over F₆₄	[i]