MinT - Information on Result #1205456

Information on Result #1205456

Digital (92, 106, 2396742)-net over F₈, using trace code for nets based on digital (39, 53, 1198371)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁵³, 1198371, F₆₄, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(64⁵³, 8388597, F₆₄, 14) (dual of [8388597, 8388544, 15]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁵³, large, F₆₄, 14) (dual of [large, large−53, 15]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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 (93, 107, 2396742)-net over F₈	[i]	Net Duplication
2	Digital (94, 108, 2396742)-net over F₈	[i]
3	Digital (95, 109, 2396742)-net over F₈	[i]
4	Digital (96, 110, 2396742)-net over F₈	[i]
5	Digital (97, 111, 2396742)-net over F₈	[i]
6	Digital (98, 112, 2396742)-net over F₈	[i]
7	Digital (99, 113, 2396751)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
8	Digital (100, 114, 2396756)-net over F₈	[i]
9	Digital (101, 115, 2396759)-net over F₈	[i]
10	Digital (102, 116, 2396766)-net over F₈	[i]
11	Digital (103, 117, 2396767)-net over F₈	[i]
12	Digital (104, 118, 2396770)-net over F₈	[i]
13	Digital (105, 119, 2396807)-net over F₈	[i]
14	Digital (106, 120, 2396872)-net over F₈	[i]
15	Digital (108, 122, 2396902)-net over F₈	[i]
16	Digital (110, 124, 2396937)-net over F₈	[i]
17	Digital (111, 125, 2397002)-net over F₈	[i]
18	Digital (113, 127, 2397062)-net over F₈	[i]
19	Digital (114, 128, 2397074)-net over F₈	[i]
20	Digital (115, 129, 2397147)-net over F₈	[i]
21	Digital (116, 130, 2397261)-net over F₈	[i]
22	Digital (117, 131, 2398108)-net over F₈	[i]
23	Digital (118, 132, 2399473)-net over F₈	[i]
24	Digital (119, 133, 2399474)-net over F₈	[i]
25	Digital (120, 134, 2399476)-net over F₈	[i]
26	Digital (121, 135, 2399482)-net over F₈	[i]
27	Digital (122, 136, 2399538)-net over F₈	[i]
28	Digital (123, 137, 2407666)-net over F₈	[i]
29	Digital (124, 138, 2407668)-net over F₈	[i]
30	Digital (125, 139, 2407669)-net over F₈	[i]
31	Digital (126, 140, 2407675)-net over F₈	[i]
32	Digital (127, 141, 2407731)-net over F₈	[i]
33	Digital (128, 142, 2407874)-net over F₈	[i]
34	Digital (129, 143, 2484125)-net over F₈	[i]
35	Digital (130, 144, 2571506)-net over F₈	[i]
36	Digital (132, 146, 2571510)-net over F₈	[i]
37	Digital (133, 147, 2571515)-net over F₈	[i]
38	Digital (134, 148, 2571571)-net over F₈	[i]
39	Digital (135, 149, 3095794)-net over F₈	[i]
40	Digital (136, 150, 3095798)-net over F₈	[i]
41	Digital (138, 152, 3095803)-net over F₈	[i]
42	Digital (139, 153, 3095859)-net over F₈	[i]
43	Digital (140, 154, 3096002)-net over F₈	[i]
44	Digital (141, 155, 4793484)-net over F₈	[i]
45	Digital (114, 128, 2397075)-net over F₈	[i]
46	Digital (115, 129, 2397148)-net over F₈	[i]
47	Digital (116, 130, 2397262)-net over F₈	[i]
48	(104, 118, 2396775)-net in base 8	[i]
49	(110, 124, 2397000)-net in base 8	[i]
50	(112, 126, 2397256)-net in base 8	[i]
51	(115, 129, 2397265)-net in base 8	[i]
52	(116, 130, 2397513)-net in base 8	[i]
53	(127, 141, 2440433)-net in base 8	[i]
54	(128, 142, 2440434)-net in base 8	[i]
55	(138, 152, 3794845)-net in base 8	[i]
56	(140, 154, 3794849)-net in base 8	[i]
57	Digital (159, 173, 4795527)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
58	Digital (153, 167, 4793549)-net over F₈	[i]
59	Digital (153, 167, 4793567)-net over F₈	[i]
60	Digital (154, 168, 4793623)-net over F₈	[i]
61	Digital (154, 168, 4793632)-net over F₈	[i]
62	Digital (156, 170, 4793753)-net over F₈	[i]
63	Digital (157, 171, 4793817)-net over F₈	[i]
64	Digital (158, 172, 4793874)-net over F₈	[i]
65	Digital (156, 170, 4793760)-net over F₈	[i]
66	Digital (158, 172, 4793959)-net over F₈	[i]
67	Digital (157, 171, 4795518)-net over F₈	[i]
68	Digital (158, 172, 4795574)-net over F₈	[i]
69	Digital (159, 173, 4795630)-net over F₈	[i]
70	Digital (159, 173, 4795717)-net over F₈	[i]
71	Digital (158, 172, 4797534)-net over F₈	[i]
72	Digital (159, 173, 4797590)-net over F₈	[i]
73	Digital (150, 164, 4793521)-net over F₈	[i]
74	Digital (151, 165, 4793540)-net over F₈	[i]
75	Digital (151, 165, 4793558)-net over F₈	[i]
76	Digital (152, 166, 4793614)-net over F₈	[i]
77	Digital (152, 166, 4793623)-net over F₈	[i]
78	Digital (153, 167, 4793679)-net over F₈	[i]
79	Digital (154, 168, 4793744)-net over F₈	[i]
80	Digital (154, 168, 4793751)-net over F₈	[i]
81	Digital (155, 169, 4793807)-net over F₈	[i]
82	Digital (156, 170, 4793950)-net over F₈	[i]
83	Digital (155, 169, 4795509)-net over F₈	[i]
84	Digital (156, 170, 4795565)-net over F₈	[i]
85	Digital (157, 171, 4795708)-net over F₈	[i]
86	Digital (156, 170, 4797525)-net over F₈	[i]
87	Digital (157, 171, 4797581)-net over F₈	[i]
88	Digital (158, 172, 4797724)-net over F₈	[i]
89	Digital (159, 173, 4798211)-net over F₈	[i]
90	Digital (145, 159, 4793493)-net over F₈	[i]
91	Digital (146, 160, 4793498)-net over F₈	[i]
92	Digital (147, 161, 4793512)-net over F₈	[i]
93	Digital (148, 162, 4793549)-net over F₈	[i]
94	Digital (149, 163, 4793614)-net over F₈	[i]
95	Digital (151, 165, 4793742)-net over F₈	[i]
96	Digital (152, 166, 4795500)-net over F₈	[i]
97	Digital (153, 167, 4797516)-net over F₈	[i]
98	Digital (155, 169, 4797582)-net over F₈	[i]
99	Digital (156, 170, 4797589)-net over F₈	[i]
100	Digital (157, 171, 4809870)-net over F₈	[i]
101	Digital (158, 172, 4809874)-net over F₈	[i]
102	Digital (159, 173, 4809879)-net over F₈	[i]
103	Digital (156, 170, 4797644)-net over F₈	[i]