MinT - Information on Result #1196304

Information on Result #1196304

Digital (48, 61, 1398100)-net over F₂₅, using net defined by OOA based on linear OOA(25⁶¹, 1398100, F₂₅, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(25⁶¹, 8388601, F₂₅, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁶¹, large, F₂₅, 13) (dual of [large, large−61, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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 (49, 61, 1398100)-net over F₂₅	[i]	t-Expansion
2	Digital (49, 62, 1398100)-net over F₂₅	[i]	Net Duplication
3	Digital (50, 63, 1398100)-net over F₂₅	[i]
4	Digital (51, 64, 1398100)-net over F₂₅	[i]
5	Digital (52, 65, 1398100)-net over F₂₅	[i]
6	Digital (53, 66, 1398100)-net over F₂₅	[i]
7	Digital (48, 60, 1398100)-net over F₂₅	[i]	m-Reduction
8	Digital (54, 67, 1398126)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
9	Digital (55, 68, 1398127)-net over F₂₅	[i]
10	Digital (56, 69, 1398128)-net over F₂₅	[i]
11	Digital (57, 70, 1398152)-net over F₂₅	[i]
12	Digital (58, 71, 1398166)-net over F₂₅	[i]
13	Digital (59, 72, 1398309)-net over F₂₅	[i]
14	Digital (60, 73, 1398310)-net over F₂₅	[i]
15	Digital (61, 74, 1398311)-net over F₂₅	[i]
16	Digital (62, 75, 1398424)-net over F₂₅	[i]
17	Digital (63, 76, 1398751)-net over F₂₅	[i]
18	Digital (64, 77, 1403309)-net over F₂₅	[i]
19	Digital (65, 78, 1403311)-net over F₂₅	[i]
20	Digital (66, 79, 1403312)-net over F₂₅	[i]
21	Digital (67, 80, 1403335)-net over F₂₅	[i]
22	Digital (68, 81, 1403935)-net over F₂₅	[i]
23	Digital (69, 82, 1528309)-net over F₂₅	[i]
24	Digital (70, 83, 1528311)-net over F₂₅	[i]
25	Digital (71, 84, 1528313)-net over F₂₅	[i]
26	Digital (72, 85, 1528335)-net over F₂₅	[i]
27	Digital (73, 86, 1528935)-net over F₂₅	[i]
28	Digital (62, 75, 1398750)-net over F₂₅	[i]
29	Digital (88, 101, 2796852)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
30	Digital (94, 107, 2811880)-net over F₂₅	[i]
31	Digital (94, 107, 2991592)-net over F₂₅	[i]
32	Digital (97, 110, 4194378)-net over F₂₅	[i]
33	Digital (86, 99, 2796826)-net over F₂₅	[i]
34	Digital (87, 100, 2797100)-net over F₂₅	[i]
35	Digital (88, 101, 2797142)-net over F₂₅	[i]
36	Digital (88, 101, 2797502)-net over F₂₅	[i]
37	Digital (89, 102, 2798102)-net over F₂₅	[i]
38	Digital (89, 102, 2804066)-net over F₂₅	[i]
39	Digital (93, 106, 2807082)-net over F₂₅	[i]
40	Digital (92, 105, 2811854)-net over F₂₅	[i]
41	Digital (93, 106, 2812479)-net over F₂₅	[i]
42	Digital (92, 105, 2991566)-net over F₂₅	[i]
43	Digital (93, 106, 2992166)-net over F₂₅	[i]
44	Digital (94, 107, 2992766)-net over F₂₅	[i]
45	Digital (94, 107, 2993074)-net over F₂₅	[i]
46	Digital (96, 109, 3186854)-net over F₂₅	[i]
47	Digital (95, 108, 4194352)-net over F₂₅	[i]
48	Digital (96, 109, 4194952)-net over F₂₅	[i]
49	Digital (97, 110, 4195552)-net over F₂₅	[i]
50	Digital (97, 110, 4195860)-net over F₂₅	[i]
51	Digital (83, 96, 2796526)-net over F₂₅	[i]
52	Digital (84, 97, 2796800)-net over F₂₅	[i]
53	Digital (85, 98, 2796828)-net over F₂₅	[i]
54	Digital (85, 98, 2796876)-net over F₂₅	[i]
55	Digital (86, 99, 2797476)-net over F₂₅	[i]
56	Digital (87, 100, 2797500)-net over F₂₅	[i]
57	Digital (87, 100, 2797802)-net over F₂₅	[i]
58	Digital (88, 101, 2798152)-net over F₂₅	[i]
59	Digital (87, 100, 2804040)-net over F₂₅	[i]
60	Digital (88, 101, 2804640)-net over F₂₅	[i]
61	Digital (89, 102, 2805548)-net over F₂₅	[i]
62	Digital (90, 103, 2811828)-net over F₂₅	[i]
63	Digital (91, 104, 2811832)-net over F₂₅	[i]
64	Digital (90, 103, 2991540)-net over F₂₅	[i]
65	Digital (91, 104, 2992140)-net over F₂₅	[i]
66	Digital (92, 105, 2993048)-net over F₂₅	[i]
67	Digital (93, 106, 3007842)-net over F₂₅	[i]
68	Digital (94, 107, 3186828)-net over F₂₅	[i]
69	Digital (93, 106, 4194326)-net over F₂₅	[i]
70	Digital (94, 107, 4194926)-net over F₂₅	[i]
71	Digital (95, 108, 4195834)-net over F₂₅	[i]
72	Digital (96, 109, 4210628)-net over F₂₅	[i]
73	Digital (97, 110, 4586175)-net over F₂₅	[i]
74	Digital (78, 91, 2796226)-net over F₂₅	[i]
75	Digital (79, 92, 2796227)-net over F₂₅	[i]
76	Digital (80, 93, 2796500)-net over F₂₅	[i]
77	Digital (81, 94, 2796514)-net over F₂₅	[i]
78	Digital (82, 95, 2796850)-net over F₂₅	[i]
79	Digital (83, 96, 2797176)-net over F₂₅	[i]
80	Digital (84, 97, 2804014)-net over F₂₅	[i]
81	Digital (85, 98, 2804016)-net over F₂₅	[i]
82	Digital (86, 99, 2804050)-net over F₂₅	[i]
83	Digital (87, 100, 2991514)-net over F₂₅	[i]
84	Digital (88, 101, 2991517)-net over F₂₅	[i]
85	Digital (89, 102, 2991540)-net over F₂₅	[i]
86	Digital (90, 103, 4194300)-net over F₂₅	[i]