MinT - Information on Result #1197744

Information on Result #1197744

Digital (48, 61, 1398100)-net over F₂₇, using net defined by OOA based on linear OOA(27⁶¹, 1398100, F₂₇, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(27⁶¹, 8388601, F₂₇, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁶¹, large, F₂₇, 13) (dual of [large, large−61, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’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 F₂₇	[i]	t-Expansion
2	Digital (49, 62, 1398100)-net over F₂₇	[i]	Net Duplication
3	Digital (50, 63, 1398100)-net over F₂₇	[i]
4	Digital (51, 64, 1398100)-net over F₂₇	[i]
5	Digital (52, 65, 1398100)-net over F₂₇	[i]
6	Digital (53, 66, 1398100)-net over F₂₇	[i]
7	Digital (48, 60, 1398100)-net over F₂₇	[i]	m-Reduction
8	Digital (170, 183, 4194300)-net over F₃	[i]	Trace Code for Nets
9	Digital (54, 67, 1398128)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
10	Digital (55, 68, 1398138)-net over F₂₇	[i]
11	Digital (56, 69, 1398148)-net over F₂₇	[i]
12	Digital (57, 70, 1398156)-net over F₂₇	[i]
13	Digital (58, 71, 1398166)-net over F₂₇	[i]
14	Digital (59, 72, 1398344)-net over F₂₇	[i]
15	Digital (60, 73, 1398345)-net over F₂₇	[i]
16	Digital (61, 74, 1398346)-net over F₂₇	[i]
17	Digital (62, 75, 1398477)-net over F₂₇	[i]
18	Digital (63, 76, 1398604)-net over F₂₇	[i]
19	Digital (64, 77, 1404662)-net over F₂₇	[i]
20	Digital (65, 78, 1404663)-net over F₂₇	[i]
21	Digital (66, 79, 1404664)-net over F₂₇	[i]
22	Digital (67, 80, 1404690)-net over F₂₇	[i]
23	Digital (68, 81, 1405392)-net over F₂₇	[i]
24	Digital (69, 82, 1575248)-net over F₂₇	[i]
25	Digital (70, 83, 1575250)-net over F₂₇	[i]
26	Digital (71, 84, 1575251)-net over F₂₇	[i]
27	Digital (72, 85, 1575276)-net over F₂₇	[i]
28	Digital (73, 86, 1575978)-net over F₂₇	[i]
29	Digital (62, 75, 1398856)-net over F₂₇	[i]
30	Digital (63, 76, 1398866)-net over F₂₇	[i]
31	(56, 69, 1398182)-net in base 27	[i]
32	(58, 71, 1398200)-net in base 27	[i]
33	(63, 76, 1400287)-net in base 27	[i]
34	Digital (88, 101, 2796958)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
35	Digital (89, 102, 2797281)-net over F₂₇	[i]
36	Digital (94, 107, 2815942)-net over F₂₇	[i]
37	Digital (94, 107, 3062006)-net over F₂₇	[i]
38	Digital (97, 110, 4194384)-net over F₂₇	[i]
39	Digital (86, 99, 2796930)-net over F₂₇	[i]
40	Digital (87, 100, 2797253)-net over F₂₇	[i]
41	Digital (88, 101, 2797298)-net over F₂₇	[i]
42	Digital (88, 101, 2797714)-net over F₂₇	[i]
43	Digital (89, 102, 2798416)-net over F₂₇	[i]
44	Digital (89, 102, 2806099)-net over F₂₇	[i]
45	Digital (93, 106, 2809459)-net over F₂₇	[i]
46	Digital (92, 105, 2815914)-net over F₂₇	[i]
47	Digital (93, 106, 2816643)-net over F₂₇	[i]
48	Digital (92, 105, 3061978)-net over F₂₇	[i]
49	Digital (93, 106, 3062680)-net over F₂₇	[i]
50	Digital (94, 107, 3063382)-net over F₂₇	[i]
51	Digital (94, 107, 3063658)-net over F₂₇	[i]
52	Digital (96, 109, 3327672)-net over F₂₇	[i]
53	Digital (95, 108, 4194356)-net over F₂₇	[i]
54	Digital (96, 109, 4195058)-net over F₂₇	[i]
55	Digital (97, 110, 4195760)-net over F₂₇	[i]
56	Digital (97, 110, 4196036)-net over F₂₇	[i]
57	Digital (83, 96, 2796579)-net over F₂₇	[i]
58	Digital (84, 97, 2796902)-net over F₂₇	[i]
59	Digital (85, 98, 2796932)-net over F₂₇	[i]
60	Digital (85, 98, 2796984)-net over F₂₇	[i]
61	Digital (86, 99, 2797686)-net over F₂₇	[i]
62	Digital (87, 100, 2797712)-net over F₂₇	[i]
63	Digital (88, 101, 2797732)-net over F₂₇	[i]
64	Digital (87, 100, 2806071)-net over F₂₇	[i]
65	Digital (88, 101, 2806773)-net over F₂₇	[i]
66	Digital (89, 102, 2807751)-net over F₂₇	[i]
67	Digital (90, 103, 2815886)-net over F₂₇	[i]
68	Digital (91, 104, 2815890)-net over F₂₇	[i]
69	Digital (90, 103, 3061950)-net over F₂₇	[i]
70	Digital (91, 104, 3062652)-net over F₂₇	[i]
71	Digital (92, 105, 3063630)-net over F₂₇	[i]
72	Digital (93, 106, 3082418)-net over F₂₇	[i]
73	Digital (94, 107, 3327644)-net over F₂₇	[i]
74	Digital (93, 106, 4194328)-net over F₂₇	[i]
75	Digital (94, 107, 4195030)-net over F₂₇	[i]
76	Digital (95, 108, 4196008)-net over F₂₇	[i]
77	Digital (96, 109, 4214796)-net over F₂₇	[i]
78	Digital (97, 110, 4727199)-net over F₂₇	[i]
79	Digital (78, 91, 2796228)-net over F₂₇	[i]
80	Digital (79, 92, 2796238)-net over F₂₇	[i]
81	Digital (80, 93, 2796551)-net over F₂₇	[i]
82	Digital (81, 94, 2796566)-net over F₂₇	[i]
83	Digital (82, 95, 2796956)-net over F₂₇	[i]
84	Digital (83, 96, 2796966)-net over F₂₇	[i]
85	Digital (84, 97, 2806043)-net over F₂₇	[i]
86	Digital (85, 98, 2806045)-net over F₂₇	[i]
87	Digital (86, 99, 2806082)-net over F₂₇	[i]
88	Digital (87, 100, 3061922)-net over F₂₇	[i]
89	Digital (88, 101, 3061925)-net over F₂₇	[i]
90	Digital (89, 102, 3061950)-net over F₂₇	[i]
91	Digital (90, 103, 4194300)-net over F₂₇	[i]