MinT - Information on Result #1200862

Information on Result #1200862

Digital (12, 17, 4194301)-net over F₆₄, using net defined by OOA based on linear OOA(64¹⁷, 4194301, F₆₄, 5, 5) (dual of [(4194301, 5), 20971488, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(64¹⁷, large, F₆₄, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (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 (13, 18, 4194301)-net over F₆₄	[i]	Net Duplication
2	Digital (46, 51, large)-net over F₄	[i]	Trace Code for Nets
3	Digital (29, 34, 8388602)-net over F₈	[i]	Trace Code for Nets
4	Digital (14, 19, 4194366)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
5	Digital (44, 54, 3355440)-net over F₆₄	[i]
6	Digital (49, 59, 3355570)-net over F₆₄	[i]
7	Digital (50, 60, 3355600)-net over F₆₄	[i]
8	Digital (61, 71, 6710880)-net over F₆₄	[i]
9	Digital (66, 76, 6711140)-net over F₆₄	[i]
10	Digital (67, 77, 6711200)-net over F₆₄	[i]
11	Digital (68, 78, 8388602)-net over F₆₄	[i]
12	Digital (73, 83, large)-net over F₆₄	[i]
13	Digital (47, 58, 3355440)-net over F₆₄	[i]
14	Digital (52, 63, 3355570)-net over F₆₄	[i]
15	Digital (53, 64, 3355600)-net over F₆₄	[i]
16	Digital (64, 75, 6710880)-net over F₆₄	[i]
17	Digital (69, 80, 6711140)-net over F₆₄	[i]
18	Digital (70, 81, 6711200)-net over F₆₄	[i]
19	Digital (71, 82, 8388602)-net over F₆₄	[i]
20	Digital (76, 87, large)-net over F₆₄	[i]
21	Digital (62, 73, 5033550)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
22	Digital (61, 72, 5033485)-net over F₆₄	[i]
23	Digital (62, 73, 5037581)-net over F₆₄	[i]
24	Digital (58, 68, 5033485)-net over F₆₄	[i]
25	Digital (60, 71, 5033420)-net over F₆₄	[i]
26	Digital (61, 72, 5037516)-net over F₆₄	[i]
27	Digital (62, 73, 5049804)-net over F₆₄	[i]
28	Digital (62, 73, 5299660)-net over F₆₄	[i]
29	Digital (57, 67, 5033420)-net over F₆₄	[i]
30	Digital (58, 68, 5037516)-net over F₆₄	[i]
31	Digital (59, 70, 5033355)-net over F₆₄	[i]
32	Digital (60, 71, 5037451)-net over F₆₄	[i]
33	Digital (61, 72, 5045643)-net over F₆₄	[i]
34	Digital (61, 72, 5299595)-net over F₆₄	[i]
35	Digital (62, 73, 5307787)-net over F₆₄	[i]
36	Digital (62, 73, 6711010)-net over F₆₄	[i]
37	Digital (56, 66, 5033355)-net over F₆₄	[i]
38	Digital (57, 67, 5037451)-net over F₆₄	[i]
39	Digital (58, 68, 5045643)-net over F₆₄	[i]
40	Digital (58, 68, 5299595)-net over F₆₄	[i]
41	Digital (58, 69, 5033290)-net over F₆₄	[i]
42	Digital (59, 70, 5037386)-net over F₆₄	[i]
43	Digital (60, 71, 5041482)-net over F₆₄	[i]
44	Digital (60, 71, 5299530)-net over F₆₄	[i]
45	Digital (61, 72, 5303626)-net over F₆₄	[i]
46	Digital (61, 72, 6710945)-net over F₆₄	[i]
47	Digital (62, 73, 6715041)-net over F₆₄	[i]
48	Digital (55, 65, 5033290)-net over F₆₄	[i]
49	Digital (56, 66, 5037386)-net over F₆₄	[i]
50	Digital (57, 67, 5041482)-net over F₆₄	[i]
51	Digital (57, 67, 5299530)-net over F₆₄	[i]
52	Digital (58, 68, 5303626)-net over F₆₄	[i]
53	Digital (58, 68, 6710945)-net over F₆₄	[i]
54	Digital (53, 64, 3359602)-net over F₆₄	[i]
55	Digital (56, 67, 5033225)-net over F₆₄	[i]
56	Digital (57, 68, 5037321)-net over F₆₄	[i]
57	Digital (58, 69, 5299465)-net over F₆₄	[i]
58	Digital (59, 70, 6710880)-net over F₆₄	[i]
59	Digital (50, 60, 3359602)-net over F₆₄	[i]
60	Digital (53, 63, 5033225)-net over F₆₄	[i]
61	Digital (54, 64, 5037321)-net over F₆₄	[i]
62	Digital (55, 65, 5299465)-net over F₆₄	[i]
63	Digital (56, 66, 6710880)-net over F₆₄	[i]
64	Digital (50, 61, 3355505)-net over F₆₄	[i]
65	Digital (51, 62, 3359537)-net over F₆₄	[i]
66	Digital (52, 63, 3363705)-net over F₆₄	[i]
67	Digital (53, 64, 3625842)-net over F₆₄	[i]
68	Digital (54, 65, 5033160)-net over F₆₄	[i]
69	Digital (47, 57, 3355505)-net over F₆₄	[i]
70	Digital (48, 58, 3359537)-net over F₆₄	[i]
71	Digital (49, 59, 3363705)-net over F₆₄	[i]
72	Digital (50, 60, 3625842)-net over F₆₄	[i]
73	Digital (51, 61, 5033160)-net over F₆₄	[i]