MinT - Information on Result #1196050

Information on Result #1196050

Digital (32, 41, 2097150)-net over F₂₅, using net defined by OOA based on linear OOA(25⁴¹, 2097150, F₂₅, 9, 9) (dual of [(2097150, 9), 18874309, 10]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OA(25⁴¹, 8388601, F₂₅, 9) (dual of [8388601, 8388560, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁴¹, large, F₂₅, 9) (dual of [large, large−41, 10]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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 (33, 42, 2097150)-net over F₂₅	[i]	Net Duplication
2	Digital (34, 43, 2097150)-net over F₂₅	[i]
3	Digital (35, 44, 2097150)-net over F₂₅	[i]
4	Digital (36, 45, 2097176)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
5	Digital (37, 46, 2097177)-net over F₂₅	[i]
6	Digital (38, 47, 2097450)-net over F₂₅	[i]
7	Digital (39, 48, 2097464)-net over F₂₅	[i]
8	Digital (40, 49, 2097799)-net over F₂₅	[i]
9	Digital (41, 50, 2098126)-net over F₂₅	[i]
10	Digital (42, 51, 2104964)-net over F₂₅	[i]
11	Digital (43, 52, 2104966)-net over F₂₅	[i]
12	Digital (44, 53, 2105000)-net over F₂₅	[i]
13	Digital (45, 54, 2292464)-net over F₂₅	[i]
14	Digital (46, 55, 2292467)-net over F₂₅	[i]
15	Digital (47, 56, 2292490)-net over F₂₅	[i]
16	Digital (40, 49, 2097800)-net over F₂₅	[i]
17	Digital (62, 71, 6784686)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
18	Digital (63, 72, 6784758)-net over F₂₅	[i]
19	Digital (65, 74, large)-net over F₂₅	[i]
20	Digital (60, 69, 4210758)-net over F₂₅	[i]
21	Digital (61, 70, 4586305)-net over F₂₅	[i]
22	Digital (59, 68, 4210732)-net over F₂₅	[i]
23	Digital (60, 69, 4213232)-net over F₂₅	[i]
24	Digital (60, 69, 4586279)-net over F₂₅	[i]
25	Digital (61, 70, 4588779)-net over F₂₅	[i]
26	Digital (61, 70, 5153155)-net over F₂₅	[i]
27	Digital (57, 66, 4196804)-net over F₂₅	[i]
28	Digital (58, 67, 4210706)-net over F₂₅	[i]
29	Digital (59, 68, 4212581)-net over F₂₅	[i]
30	Digital (59, 68, 4586253)-net over F₂₅	[i]
31	Digital (60, 69, 4588128)-net over F₂₅	[i]
32	Digital (60, 69, 5153129)-net over F₂₅	[i]
33	Digital (61, 70, 5155004)-net over F₂₅	[i]
34	Digital (61, 70, 6291528)-net over F₂₅	[i]
35	Digital (55, 64, 4194978)-net over F₂₅	[i]
36	Digital (56, 65, 4196178)-net over F₂₅	[i]
37	Digital (57, 66, 4197136)-net over F₂₅	[i]
38	Digital (57, 66, 4210680)-net over F₂₅	[i]
39	Digital (58, 67, 4211930)-net over F₂₅	[i]
40	Digital (58, 67, 4586227)-net over F₂₅	[i]
41	Digital (59, 68, 4587477)-net over F₂₅	[i]
42	Digital (59, 68, 5153103)-net over F₂₅	[i]
43	Digital (60, 69, 5154353)-net over F₂₅	[i]
44	Digital (63, 72, 7070553)-net over F₂₅	[i]
45	Digital (60, 69, 6291502)-net over F₂₅	[i]
46	Digital (61, 70, 6292752)-net over F₂₅	[i]
47	Digital (63, 72, 7105252)-net over F₂₅	[i]
48	Digital (64, 73, large)-net over F₂₅	[i]
49	Digital (54, 63, 4194952)-net over F₂₅	[i]
50	Digital (55, 64, 4195552)-net over F₂₅	[i]
51	Digital (55, 64, 4195860)-net over F₂₅	[i]
52	Digital (56, 65, 4196485)-net over F₂₅	[i]
53	Digital (56, 65, 4210654)-net over F₂₅	[i]
54	Digital (57, 66, 4211279)-net over F₂₅	[i]
55	Digital (57, 66, 4586201)-net over F₂₅	[i]
56	Digital (58, 67, 4586826)-net over F₂₅	[i]
57	Digital (58, 67, 5153077)-net over F₂₅	[i]
58	Digital (59, 68, 5153702)-net over F₂₅	[i]
59	Digital (59, 68, 6291476)-net over F₂₅	[i]
60	Digital (60, 69, 6292101)-net over F₂₅	[i]
61	Digital (61, 70, 6307726)-net over F₂₅	[i]
62	Digital (63, 72, 8388600)-net over F₂₅	[i]
63	Digital (51, 60, 4194326)-net over F₂₅	[i]
64	Digital (52, 61, 4194926)-net over F₂₅	[i]
65	Digital (53, 62, 4195834)-net over F₂₅	[i]
66	Digital (54, 63, 4210628)-net over F₂₅	[i]
67	Digital (55, 64, 4586175)-net over F₂₅	[i]
68	Digital (56, 65, 5153051)-net over F₂₅	[i]
69	Digital (57, 66, 6291450)-net over F₂₅	[i]