MinT - Information on Result #1197286

Information on Result #1197286

Digital (20, 26, 2796201)-net over F₂₇, using net defined by OOA based on linear OOA(27²⁶, 2796201, F₂₇, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using

OA 3-folding and stacking [i] based on linear OA(27²⁶, large, F₂₇, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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 (21, 27, 2796201)-net over F₂₇	[i]	Net Duplication
2	Digital (22, 28, 2796201)-net over F₂₇	[i]	Net Duplication
3	Digital (72, 78, large)-net over F₃	[i]	Trace Code for Nets
4	Digital (23, 29, 2796229)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
5	Digital (24, 30, 2796931)-net over F₂₇	[i]
6	Digital (25, 31, 2797909)-net over F₂₇	[i]
7	Digital (26, 32, 2816697)-net over F₂₇	[i]
8	Digital (27, 33, 3329100)-net over F₂₇	[i]
9	Digital (28, 34, 4041334)-net over F₂₇	[i]
10	Digital (29, 35, 5592402)-net over F₂₇	[i]
11	Digital (76, 88, 2796256)-net over F₂₇	[i]
12	Digital (77, 89, 2796276)-net over F₂₇	[i]
13	Digital (78, 90, 2796296)-net over F₂₇	[i]
14	Digital (79, 91, 2796312)-net over F₂₇	[i]
15	Digital (80, 92, 2796332)-net over F₂₇	[i]
16	Digital (81, 93, 2796688)-net over F₂₇	[i]
17	Digital (82, 94, 2796690)-net over F₂₇	[i]
18	Digital (83, 95, 2796692)-net over F₂₇	[i]
19	Digital (84, 96, 2796954)-net over F₂₇	[i]
20	Digital (85, 97, 2797208)-net over F₂₇	[i]
21	Digital (86, 98, 2809324)-net over F₂₇	[i]
22	Digital (87, 99, 2809326)-net over F₂₇	[i]
23	Digital (88, 100, 2809328)-net over F₂₇	[i]
24	Digital (89, 101, 2809380)-net over F₂₇	[i]
25	Digital (90, 102, 2810784)-net over F₂₇	[i]
26	Digital (91, 103, 3150496)-net over F₂₇	[i]
27	Digital (92, 104, 3150500)-net over F₂₇	[i]
28	Digital (93, 105, 3150502)-net over F₂₇	[i]
29	Digital (94, 106, 3150552)-net over F₂₇	[i]
30	Digital (95, 107, 3151956)-net over F₂₇	[i]
31	Digital (96, 108, 5592400)-net over F₂₇	[i]
32	Digital (80, 93, 2796256)-net over F₂₇	[i]
33	Digital (81, 94, 2796276)-net over F₂₇	[i]
34	Digital (82, 95, 2796296)-net over F₂₇	[i]
35	Digital (83, 96, 2796312)-net over F₂₇	[i]
36	Digital (84, 97, 2796332)-net over F₂₇	[i]
37	Digital (85, 98, 2796688)-net over F₂₇	[i]
38	Digital (86, 99, 2796690)-net over F₂₇	[i]
39	Digital (87, 100, 2796692)-net over F₂₇	[i]
40	Digital (88, 101, 2796954)-net over F₂₇	[i]
41	Digital (89, 102, 2797208)-net over F₂₇	[i]
42	Digital (90, 103, 2809324)-net over F₂₇	[i]
43	Digital (91, 104, 2809326)-net over F₂₇	[i]
44	Digital (92, 105, 2809328)-net over F₂₇	[i]
45	Digital (93, 106, 2809380)-net over F₂₇	[i]
46	Digital (94, 107, 2810784)-net over F₂₇	[i]
47	Digital (95, 108, 3150496)-net over F₂₇	[i]
48	Digital (96, 109, 3150500)-net over F₂₇	[i]
49	Digital (97, 110, 3150502)-net over F₂₇	[i]
50	Digital (35, 41, large)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
51	Digital (95, 107, 4194440)-net over F₂₇	[i]
52	Digital (94, 106, 4194412)-net over F₂₇	[i]
53	Digital (95, 107, 4195114)-net over F₂₇	[i]
54	Digital (88, 101, 2796958)-net over F₂₇	[i]
55	Digital (89, 102, 2797281)-net over F₂₇	[i]
56	Digital (94, 107, 2815942)-net over F₂₇	[i]
57	Digital (94, 107, 3062006)-net over F₂₇	[i]
58	Digital (97, 110, 4194384)-net over F₂₇	[i]
59	Digital (84, 96, 2796958)-net over F₂₇	[i]
60	Digital (85, 97, 2797281)-net over F₂₇	[i]
61	Digital (90, 102, 2815942)-net over F₂₇	[i]
62	Digital (90, 102, 3062006)-net over F₂₇	[i]
63	Digital (93, 105, 4194384)-net over F₂₇	[i]
64	Digital (94, 106, 4195086)-net over F₂₇	[i]
65	Digital (95, 107, 4195788)-net over F₂₇	[i]
66	Digital (95, 107, 4196064)-net over F₂₇	[i]
67	Digital (86, 99, 2796930)-net over F₂₇	[i]
68	Digital (87, 100, 2797253)-net over F₂₇	[i]
69	Digital (88, 101, 2797298)-net over F₂₇	[i]
70	Digital (88, 101, 2797714)-net over F₂₇	[i]
71	Digital (89, 102, 2798416)-net over F₂₇	[i]
72	Digital (89, 102, 2806099)-net over F₂₇	[i]
73	Digital (93, 106, 2809459)-net over F₂₇	[i]
74	Digital (92, 105, 2815914)-net over F₂₇	[i]
75	Digital (93, 106, 2816643)-net over F₂₇	[i]
76	Digital (92, 105, 3061978)-net over F₂₇	[i]
77	Digital (93, 106, 3062680)-net over F₂₇	[i]
78	Digital (94, 107, 3063382)-net over F₂₇	[i]
79	Digital (94, 107, 3063658)-net over F₂₇	[i]
80	Digital (96, 109, 3327672)-net over F₂₇	[i]
81	Digital (95, 108, 4194356)-net over F₂₇	[i]
82	Digital (96, 109, 4195058)-net over F₂₇	[i]
83	Digital (97, 110, 4195760)-net over F₂₇	[i]
84	Digital (97, 110, 4196036)-net over F₂₇	[i]
85	Digital (82, 94, 2796930)-net over F₂₇	[i]
86	Digital (83, 95, 2797253)-net over F₂₇	[i]
87	Digital (84, 96, 2797298)-net over F₂₇	[i]
88	Digital (84, 96, 2797714)-net over F₂₇	[i]
89	Digital (85, 97, 2798416)-net over F₂₇	[i]
90	Digital (85, 97, 2806099)-net over F₂₇	[i]
91	Digital (89, 101, 2809459)-net over F₂₇	[i]
92	Digital (88, 100, 2815914)-net over F₂₇	[i]
93	Digital (89, 101, 2816643)-net over F₂₇	[i]
94	Digital (88, 100, 3061978)-net over F₂₇	[i]
95	Digital (89, 101, 3062680)-net over F₂₇	[i]
96	Digital (90, 102, 3063382)-net over F₂₇	[i]
97	Digital (90, 102, 3063658)-net over F₂₇	[i]
98	Digital (92, 104, 3327672)-net over F₂₇	[i]
99	Digital (91, 103, 4194356)-net over F₂₇	[i]
100	Digital (92, 104, 4195058)-net over F₂₇	[i]
101	Digital (93, 105, 4195760)-net over F₂₇	[i]
102	Digital (93, 105, 4196036)-net over F₂₇	[i]
103	Digital (94, 106, 4196765)-net over F₂₇	[i]
104	Digital (95, 107, 4197716)-net over F₂₇	[i]
105	Digital (94, 106, 4214824)-net over F₂₇	[i]
106	Digital (95, 107, 4215553)-net over F₂₇	[i]
107	Digital (95, 107, 4727227)-net over F₂₇	[i]
108	Digital (97, 109, 5592428)-net over F₂₇	[i]
109	Digital (98, 110, 5593157)-net over F₂₇	[i]
110	Digital (83, 96, 2796579)-net over F₂₇	[i]
111	Digital (84, 97, 2796902)-net over F₂₇	[i]
112	Digital (85, 98, 2796932)-net over F₂₇	[i]
113	Digital (85, 98, 2796984)-net over F₂₇	[i]
114	Digital (86, 99, 2797686)-net over F₂₇	[i]
115	Digital (87, 100, 2797712)-net over F₂₇	[i]
116	Digital (88, 101, 2797732)-net over F₂₇	[i]
117	Digital (87, 100, 2806071)-net over F₂₇	[i]
118	Digital (88, 101, 2806773)-net over F₂₇	[i]
119	Digital (89, 102, 2807751)-net over F₂₇	[i]
120	Digital (90, 103, 2815886)-net over F₂₇	[i]
121	Digital (91, 104, 2815890)-net over F₂₇	[i]
122	Digital (90, 103, 3061950)-net over F₂₇	[i]
123	Digital (91, 104, 3062652)-net over F₂₇	[i]
124	Digital (92, 105, 3063630)-net over F₂₇	[i]
125	Digital (93, 106, 3082418)-net over F₂₇	[i]
126	Digital (94, 107, 3327644)-net over F₂₇	[i]
127	Digital (93, 106, 4194328)-net over F₂₇	[i]
128	Digital (94, 107, 4195030)-net over F₂₇	[i]
129	Digital (95, 108, 4196008)-net over F₂₇	[i]
130	Digital (96, 109, 4214796)-net over F₂₇	[i]
131	Digital (97, 110, 4727199)-net over F₂₇	[i]
132	Digital (79, 91, 2796579)-net over F₂₇	[i]
133	Digital (80, 92, 2796902)-net over F₂₇	[i]
134	Digital (81, 93, 2796932)-net over F₂₇	[i]
135	Digital (81, 93, 2796984)-net over F₂₇	[i]
136	Digital (82, 94, 2797686)-net over F₂₇	[i]
137	Digital (83, 95, 2797712)-net over F₂₇	[i]
138	Digital (84, 96, 2797732)-net over F₂₇	[i]
139	Digital (83, 95, 2806071)-net over F₂₇	[i]
140	Digital (84, 96, 2806773)-net over F₂₇	[i]
141	Digital (85, 97, 2807751)-net over F₂₇	[i]
142	Digital (86, 98, 2815886)-net over F₂₇	[i]
143	Digital (87, 99, 2815890)-net over F₂₇	[i]
144	Digital (86, 98, 3061950)-net over F₂₇	[i]
145	Digital (87, 99, 3062652)-net over F₂₇	[i]
146	Digital (88, 100, 3063630)-net over F₂₇	[i]
147	Digital (89, 101, 3082418)-net over F₂₇	[i]
148	Digital (90, 102, 3327644)-net over F₂₇	[i]
149	Digital (89, 101, 4194328)-net over F₂₇	[i]
150	Digital (90, 102, 4195030)-net over F₂₇	[i]
151	Digital (91, 103, 4196008)-net over F₂₇	[i]
152	Digital (92, 104, 4214796)-net over F₂₇	[i]
153	Digital (93, 105, 4727199)-net over F₂₇	[i]
154	Digital (94, 106, 5439433)-net over F₂₇	[i]
155	Digital (95, 107, 5592400)-net over F₂₇	[i]
156	Digital (33, 39, 5593916)-net over F₂₇	[i]
157	Digital (34, 40, 5633282)-net over F₂₇	[i]
158	Digital (78, 91, 2796228)-net over F₂₇	[i]
159	Digital (79, 92, 2796238)-net over F₂₇	[i]
160	Digital (80, 93, 2796551)-net over F₂₇	[i]
161	Digital (81, 94, 2796566)-net over F₂₇	[i]
162	Digital (82, 95, 2796956)-net over F₂₇	[i]
163	Digital (83, 96, 2796966)-net over F₂₇	[i]
164	Digital (84, 97, 2806043)-net over F₂₇	[i]
165	Digital (85, 98, 2806045)-net over F₂₇	[i]
166	Digital (86, 99, 2806082)-net over F₂₇	[i]
167	Digital (87, 100, 3061922)-net over F₂₇	[i]
168	Digital (88, 101, 3061925)-net over F₂₇	[i]
169	Digital (89, 102, 3061950)-net over F₂₇	[i]
170	Digital (90, 103, 4194300)-net over F₂₇	[i]
171	Digital (74, 86, 2796228)-net over F₂₇	[i]
172	Digital (75, 87, 2796238)-net over F₂₇	[i]
173	Digital (76, 88, 2796551)-net over F₂₇	[i]
174	Digital (77, 89, 2796566)-net over F₂₇	[i]
175	Digital (78, 90, 2796956)-net over F₂₇	[i]
176	Digital (79, 91, 2796966)-net over F₂₇	[i]
177	Digital (80, 92, 2806043)-net over F₂₇	[i]
178	Digital (81, 93, 2806045)-net over F₂₇	[i]
179	Digital (82, 94, 2806082)-net over F₂₇	[i]
180	Digital (83, 95, 3061922)-net over F₂₇	[i]
181	Digital (84, 96, 3061925)-net over F₂₇	[i]
182	Digital (85, 97, 3061950)-net over F₂₇	[i]
183	Digital (86, 98, 4194300)-net over F₂₇	[i]
184	Digital (31, 37, 5592430)-net over F₂₇	[i]
185	Digital (32, 38, 5593159)-net over F₂₇	[i]
186	Digital (33, 39, 5612842)-net over F₂₇	[i]
187	Digital (34, 40, 6144283)-net over F₂₇	[i]
188	(33, 39, 2796201)-net in base 9	[i]	Base Change