MinT - Information on Result #1197202

Information on Result #1197202

Digital (12, 16, 4194301)-net over F₂₇, using net defined by OOA based on linear OOA(27¹⁶, 4194301, F₂₇, 4, 4) (dual of [(4194301, 4), 16777188, 5]-NRT-code), using

OA 2-folding and stacking [i] based on linear OA(27¹⁶, 8388602, F₂₇, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(27¹⁶, large, F₂₇, 4) (dual of [large, large−16, 5]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (13, 17, 4194301)-net over F₂₇	[i]	Net Duplication
2	Digital (14, 18, 4194329)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (15, 19, 4195058)-net over F₂₇	[i]
4	Digital (18, 22, 8388602)-net over F₂₇	[i]
5	Digital (48, 56, 4194356)-net over F₂₇	[i]
6	Digital (49, 57, 4194376)-net over F₂₇	[i]
7	Digital (50, 58, 4195002)-net over F₂₇	[i]
8	Digital (51, 59, 4195032)-net over F₂₇	[i]
9	Digital (52, 60, 4195810)-net over F₂₇	[i]
10	Digital (53, 61, 4195830)-net over F₂₇	[i]
11	Digital (54, 62, 4213986)-net over F₂₇	[i]
12	Digital (55, 63, 4213990)-net over F₂₇	[i]
13	Digital (56, 64, 4214064)-net over F₂₇	[i]
14	Digital (57, 65, 4725744)-net over F₂₇	[i]
15	Digital (58, 66, 4725750)-net over F₂₇	[i]
16	Digital (59, 67, 4725800)-net over F₂₇	[i]
17	Digital (60, 68, 8388600)-net over F₂₇	[i]
18	Digital (62, 70, 8388602)-net over F₂₇	[i]
19	Digital (64, 72, large)-net over F₂₇	[i]
20	Digital (52, 61, 4194356)-net over F₂₇	[i]
21	Digital (53, 62, 4194376)-net over F₂₇	[i]
22	Digital (54, 63, 4195002)-net over F₂₇	[i]
23	Digital (55, 64, 4195032)-net over F₂₇	[i]
24	Digital (56, 65, 4195810)-net over F₂₇	[i]
25	Digital (57, 66, 4195830)-net over F₂₇	[i]
26	Digital (58, 67, 4213986)-net over F₂₇	[i]
27	Digital (59, 68, 4213990)-net over F₂₇	[i]
28	Digital (60, 69, 4214064)-net over F₂₇	[i]
29	Digital (61, 70, 4725744)-net over F₂₇	[i]
30	Digital (62, 71, 4725750)-net over F₂₇	[i]
31	Digital (63, 72, 4725800)-net over F₂₇	[i]
32	Digital (64, 73, 8388600)-net over F₂₇	[i]
33	Digital (66, 75, 8388602)-net over F₂₇	[i]
34	Digital (68, 77, large)-net over F₂₇	[i]
35	Digital (54, 62, 4215412)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
36	Digital (19, 23, large)-net over F₂₇	[i]
37	Digital (95, 107, 4194440)-net over F₂₇	[i]
38	Digital (60, 69, 4214936)-net over F₂₇	[i]
39	Digital (61, 70, 4727339)-net over F₂₇	[i]
40	Digital (94, 106, 4194412)-net over F₂₇	[i]
41	Digital (95, 107, 4195114)-net over F₂₇	[i]
42	Digital (59, 68, 4214908)-net over F₂₇	[i]
43	Digital (60, 69, 4217824)-net over F₂₇	[i]
44	Digital (60, 69, 4727311)-net over F₂₇	[i]
45	Digital (61, 70, 4730227)-net over F₂₇	[i]
46	Digital (61, 70, 5439545)-net over F₂₇	[i]
47	Digital (53, 61, 4198085)-net over F₂₇	[i]
48	Digital (53, 61, 4214852)-net over F₂₇	[i]
49	Digital (54, 62, 4217768)-net over F₂₇	[i]
50	Digital (54, 62, 4746293)-net over F₂₇	[i]
51	Digital (97, 110, 4194384)-net over F₂₇	[i]
52	Digital (93, 105, 4194384)-net over F₂₇	[i]
53	Digital (94, 106, 4195086)-net over F₂₇	[i]
54	Digital (95, 107, 4195788)-net over F₂₇	[i]
55	Digital (95, 107, 4196064)-net over F₂₇	[i]
56	Digital (57, 66, 4197220)-net over F₂₇	[i]
57	Digital (58, 67, 4214880)-net over F₂₇	[i]
58	Digital (59, 68, 4217067)-net over F₂₇	[i]
59	Digital (59, 68, 4727283)-net over F₂₇	[i]
60	Digital (60, 69, 4729470)-net over F₂₇	[i]
61	Digital (60, 69, 5439517)-net over F₂₇	[i]
62	Digital (61, 70, 5441704)-net over F₂₇	[i]
63	Digital (61, 70, 6291534)-net over F₂₇	[i]
64	Digital (51, 59, 4195141)-net over F₂₇	[i]
65	Digital (52, 60, 4197328)-net over F₂₇	[i]
66	Digital (52, 60, 4214824)-net over F₂₇	[i]
67	Digital (53, 61, 4217011)-net over F₂₇	[i]
68	Digital (53, 61, 4746265)-net over F₂₇	[i]
69	Digital (54, 62, 4748452)-net over F₂₇	[i]
70	Digital (54, 62, 6291534)-net over F₂₇	[i]
71	Digital (95, 108, 4194356)-net over F₂₇	[i]
72	Digital (96, 109, 4195058)-net over F₂₇	[i]
73	Digital (97, 110, 4195760)-net over F₂₇	[i]
74	Digital (97, 110, 4196036)-net over F₂₇	[i]
75	Digital (91, 103, 4194356)-net over F₂₇	[i]
76	Digital (92, 104, 4195058)-net over F₂₇	[i]
77	Digital (93, 105, 4195760)-net over F₂₇	[i]
78	Digital (93, 105, 4196036)-net over F₂₇	[i]
79	Digital (94, 106, 4196765)-net over F₂₇	[i]
80	Digital (95, 107, 4197716)-net over F₂₇	[i]
81	Digital (94, 106, 4214824)-net over F₂₇	[i]
82	Digital (95, 107, 4215553)-net over F₂₇	[i]
83	Digital (95, 107, 4727227)-net over F₂₇	[i]
84	Digital (97, 109, 5592428)-net over F₂₇	[i]
85	Digital (98, 110, 5593157)-net over F₂₇	[i]
86	Digital (55, 64, 4195086)-net over F₂₇	[i]
87	Digital (56, 65, 4196490)-net over F₂₇	[i]
88	Digital (57, 66, 4197522)-net over F₂₇	[i]
89	Digital (57, 66, 4214852)-net over F₂₇	[i]
90	Digital (58, 67, 4216310)-net over F₂₇	[i]
91	Digital (58, 67, 4727255)-net over F₂₇	[i]
92	Digital (59, 68, 4728713)-net over F₂₇	[i]
93	Digital (59, 68, 5439489)-net over F₂₇	[i]
94	Digital (60, 69, 5440947)-net over F₂₇	[i]
95	Digital (60, 69, 6291506)-net over F₂₇	[i]
96	Digital (61, 70, 6292964)-net over F₂₇	[i]
97	Digital (49, 57, 4194384)-net over F₂₇	[i]
98	Digital (50, 58, 4195113)-net over F₂₇	[i]
99	Digital (51, 59, 4196571)-net over F₂₇	[i]
100	Digital (51, 59, 4214796)-net over F₂₇	[i]
101	Digital (52, 60, 4216254)-net over F₂₇	[i]
102	Digital (52, 60, 4746237)-net over F₂₇	[i]
103	Digital (53, 61, 4747695)-net over F₂₇	[i]
104	Digital (53, 61, 6291506)-net over F₂₇	[i]
105	Digital (54, 62, 6292964)-net over F₂₇	[i]
106	Digital (93, 106, 4194328)-net over F₂₇	[i]
107	Digital (94, 107, 4195030)-net over F₂₇	[i]
108	Digital (95, 108, 4196008)-net over F₂₇	[i]
109	Digital (96, 109, 4214796)-net over F₂₇	[i]
110	Digital (97, 110, 4727199)-net over F₂₇	[i]
111	Digital (89, 101, 4194328)-net over F₂₇	[i]
112	Digital (90, 102, 4195030)-net over F₂₇	[i]
113	Digital (91, 103, 4196008)-net over F₂₇	[i]
114	Digital (92, 104, 4214796)-net over F₂₇	[i]
115	Digital (93, 105, 4727199)-net over F₂₇	[i]
116	Digital (94, 106, 5439433)-net over F₂₇	[i]
117	Digital (95, 107, 5592400)-net over F₂₇	[i]
118	Digital (54, 63, 4195058)-net over F₂₇	[i]
119	Digital (55, 64, 4195760)-net over F₂₇	[i]
120	Digital (55, 64, 4196036)-net over F₂₇	[i]
121	Digital (56, 65, 4196765)-net over F₂₇	[i]
122	Digital (56, 65, 4214824)-net over F₂₇	[i]
123	Digital (57, 66, 4215553)-net over F₂₇	[i]
124	Digital (57, 66, 4727227)-net over F₂₇	[i]
125	Digital (58, 67, 4727956)-net over F₂₇	[i]
126	Digital (58, 67, 5439461)-net over F₂₇	[i]
127	Digital (59, 68, 5440190)-net over F₂₇	[i]
128	Digital (59, 68, 6291478)-net over F₂₇	[i]
129	Digital (60, 69, 6292207)-net over F₂₇	[i]
130	Digital (61, 70, 6311890)-net over F₂₇	[i]
131	Digital (49, 57, 4195085)-net over F₂₇	[i]
132	Digital (50, 58, 4195814)-net over F₂₇	[i]
133	Digital (50, 58, 4214768)-net over F₂₇	[i]
134	Digital (51, 59, 4215497)-net over F₂₇	[i]
135	Digital (51, 59, 4746209)-net over F₂₇	[i]
136	Digital (52, 60, 4746938)-net over F₂₇	[i]
137	Digital (52, 60, 6291478)-net over F₂₇	[i]
138	Digital (53, 61, 6292207)-net over F₂₇	[i]
139	Digital (54, 62, 6311890)-net over F₂₇	[i]
140	Digital (90, 103, 4194300)-net over F₂₇	[i]
141	Digital (86, 98, 4194300)-net over F₂₇	[i]
142	Digital (51, 60, 4194328)-net over F₂₇	[i]
143	Digital (52, 61, 4195030)-net over F₂₇	[i]
144	Digital (53, 62, 4196008)-net over F₂₇	[i]
145	Digital (54, 63, 4214796)-net over F₂₇	[i]
146	Digital (55, 64, 4727199)-net over F₂₇	[i]
147	Digital (56, 65, 5439433)-net over F₂₇	[i]
148	Digital (57, 66, 6291450)-net over F₂₇	[i]
149	Digital (46, 54, 4194328)-net over F₂₇	[i]
150	Digital (47, 55, 4195057)-net over F₂₇	[i]
151	Digital (48, 56, 4214740)-net over F₂₇	[i]
152	Digital (49, 57, 4746181)-net over F₂₇	[i]
153	Digital (50, 58, 6291450)-net over F₂₇	[i]
154	(20, 24, 4194301)-net in base 9	[i]	Base Change