MinT - Information on Result #1205447

Information on Result #1205447

Digital (71, 82, 3355440)-net over F₈, using trace code for nets based on digital (30, 41, 1677720)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁴¹, 1677720, F₆₄, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(64⁴¹, 8388601, F₆₄, 11) (dual of [8388601, 8388560, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴¹, large, F₆₄, 11) (dual of [large, large−41, 12]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (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 (72, 83, 3355440)-net over F₈	[i]	Net Duplication
2	Digital (73, 84, 3355440)-net over F₈	[i]
3	Digital (74, 85, 3355440)-net over F₈	[i]
4	Digital (75, 86, 3355440)-net over F₈	[i]
5	Digital (76, 87, 3355449)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
6	Digital (77, 88, 3355454)-net over F₈	[i]
7	Digital (78, 89, 3355468)-net over F₈	[i]
8	Digital (80, 91, 3355505)-net over F₈	[i]
9	Digital (81, 92, 3355570)-net over F₈	[i]
10	Digital (83, 94, 3355600)-net over F₈	[i]
11	Digital (84, 95, 3357456)-net over F₈	[i]
12	Digital (85, 96, 3359472)-net over F₈	[i]
13	Digital (86, 97, 3359473)-net over F₈	[i]
14	Digital (87, 98, 3359481)-net over F₈	[i]
15	Digital (88, 99, 3359545)-net over F₈	[i]
16	Digital (89, 100, 3360057)-net over F₈	[i]
17	Digital (90, 101, 3363505)-net over F₈	[i]
18	Digital (91, 102, 3367538)-net over F₈	[i]
19	Digital (92, 103, 3371826)-net over F₈	[i]
20	Digital (93, 104, 3387703)-net over F₈	[i]
21	Digital (95, 106, 3387775)-net over F₈	[i]
22	Digital (96, 107, 3486514)-net over F₈	[i]
23	Digital (97, 108, 3617586)-net over F₈	[i]
24	Digital (98, 109, 3617587)-net over F₈	[i]
25	Digital (99, 110, 3617595)-net over F₈	[i]
26	Digital (100, 111, 4404019)-net over F₈	[i]
27	Digital (101, 112, 4404024)-net over F₈	[i]
28	Digital (102, 113, 4404028)-net over F₈	[i]
29	Digital (103, 114, 4404092)-net over F₈	[i]
30	Digital (104, 115, 6710880)-net over F₈	[i]
31	Digital (94, 105, 3387704)-net over F₈	[i]
32	(83, 94, 3355936)-net in base 8	[i]
33	(88, 99, 3363568)-net in base 8	[i]
34	(90, 101, 3420720)-net in base 8	[i]
35	(91, 102, 3420721)-net in base 8	[i]
36	(92, 103, 3420729)-net in base 8	[i]
37	(93, 104, 3420793)-net in base 8	[i]
38	(94, 105, 3421305)-net in base 8	[i]
39	(95, 106, 3425401)-net in base 8	[i]
40	(99, 110, 3879730)-net in base 8	[i]
41	(103, 114, 5452594)-net in base 8	[i]
42	Digital (116, 127, 6711205)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
43	Digital (116, 127, 6711611)-net over F₈	[i]
44	Digital (117, 128, 6715140)-net over F₈	[i]
45	Digital (118, 129, 6724436)-net over F₈	[i]
46	Digital (115, 126, 6711179)-net over F₈	[i]
47	Digital (115, 126, 6711602)-net over F₈	[i]
48	Digital (116, 127, 6711666)-net over F₈	[i]
49	Digital (116, 127, 6715131)-net over F₈	[i]
50	Digital (117, 128, 6715195)-net over F₈	[i]
51	Digital (117, 128, 6724427)-net over F₈	[i]
52	Digital (118, 129, 6724491)-net over F₈	[i]
53	Digital (118, 129, 6756081)-net over F₈	[i]
54	Digital (121, 132, large)-net over F₈	[i]
55	Digital (112, 123, 6710963)-net over F₈	[i]
56	Digital (113, 124, 6711019)-net over F₈	[i]
57	Digital (113, 124, 6711106)-net over F₈	[i]
58	Digital (114, 125, 6711170)-net over F₈	[i]
59	Digital (114, 125, 6711593)-net over F₈	[i]
60	Digital (115, 126, 6711657)-net over F₈	[i]
61	Digital (115, 126, 6715122)-net over F₈	[i]
62	Digital (116, 127, 6715186)-net over F₈	[i]
63	Digital (116, 127, 6724418)-net over F₈	[i]
64	Digital (117, 128, 6724482)-net over F₈	[i]
65	Digital (117, 128, 6756072)-net over F₈	[i]
66	Digital (118, 129, 6756136)-net over F₈	[i]
67	Digital (118, 129, 6981298)-net over F₈	[i]
68	Digital (120, 131, large)-net over F₈	[i]
69	Digital (110, 121, 6710954)-net over F₈	[i]
70	Digital (111, 122, 6711010)-net over F₈	[i]
71	Digital (111, 122, 6711097)-net over F₈	[i]
72	Digital (112, 123, 6711161)-net over F₈	[i]
73	Digital (113, 124, 6711296)-net over F₈	[i]
74	Digital (112, 123, 6711584)-net over F₈	[i]
75	Digital (113, 124, 6711648)-net over F₈	[i]
76	Digital (114, 125, 6712160)-net over F₈	[i]
77	Digital (113, 124, 6715113)-net over F₈	[i]
78	Digital (114, 125, 6715177)-net over F₈	[i]
79	Digital (115, 126, 6715689)-net over F₈	[i]
80	Digital (114, 125, 6724409)-net over F₈	[i]
81	Digital (115, 126, 6724473)-net over F₈	[i]
82	Digital (116, 127, 6724985)-net over F₈	[i]
83	Digital (115, 126, 6756063)-net over F₈	[i]
84	Digital (116, 127, 6756127)-net over F₈	[i]
85	Digital (117, 128, 6756639)-net over F₈	[i]
86	Digital (116, 127, 6981289)-net over F₈	[i]
87	Digital (117, 128, 6981353)-net over F₈	[i]
88	Digital (118, 129, 6981865)-net over F₈	[i]
89	Digital (117, 128, 7589689)-net over F₈	[i]
90	Digital (118, 129, 7589753)-net over F₈	[i]
91	Digital (118, 129, large)-net over F₈	[i]
92	Digital (107, 118, 6710889)-net over F₈	[i]
93	Digital (108, 119, 6710945)-net over F₈	[i]
94	Digital (109, 120, 6711088)-net over F₈	[i]
95	Digital (110, 121, 6711575)-net over F₈	[i]
96	Digital (111, 122, 6715104)-net over F₈	[i]
97	Digital (112, 123, 6724400)-net over F₈	[i]
98	Digital (113, 124, 6756054)-net over F₈	[i]
99	Digital (114, 125, 6981280)-net over F₈	[i]
100	Digital (115, 126, 7589680)-net over F₈	[i]
101	Digital (116, 127, large)-net over F₈	[i]