MinT - Information on Result #1197242

Information on Result #1197242

Digital (16, 21, 4194301)-net over F₂₇, using net defined by OOA based on linear OOA(27²¹, 4194301, F₂₇, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(27²¹, large, F₂₇, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (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 (17, 22, 4194301)-net over F₂₇	[i]	Net Duplication
2	Digital (18, 23, 4194329)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (19, 24, 4195058)-net over F₂₇	[i]
4	Digital (22, 27, 8388602)-net over F₂₇	[i]
5	Digital (57, 67, 3355440)-net over F₂₇	[i]
6	Digital (62, 72, 3355496)-net over F₂₇	[i]
7	Digital (63, 73, 3355516)-net over F₂₇	[i]
8	Digital (64, 74, 3356142)-net over F₂₇	[i]
9	Digital (66, 76, 3356198)-net over F₂₇	[i]
10	Digital (67, 77, 3356950)-net over F₂₇	[i]
11	Digital (68, 78, 3357548)-net over F₂₇	[i]
12	Digital (69, 79, 3358250)-net over F₂₇	[i]
13	Digital (70, 80, 3375124)-net over F₂₇	[i]
14	Digital (71, 81, 3375130)-net over F₂₇	[i]
15	Digital (72, 82, 3375904)-net over F₂₇	[i]
16	Digital (73, 83, 3396262)-net over F₂₇	[i]
17	Digital (74, 84, 3886884)-net over F₂₇	[i]
18	Digital (75, 85, 3886890)-net over F₂₇	[i]
19	Digital (76, 86, 3886940)-net over F₂₇	[i]
20	Digital (77, 87, 3888398)-net over F₂₇	[i]
21	Digital (78, 88, 6710880)-net over F₂₇	[i]
22	Digital (83, 93, 6710992)-net over F₂₇	[i]
23	Digital (84, 94, 6711032)-net over F₂₇	[i]
24	Digital (85, 95, 6712284)-net over F₂₇	[i]
25	Digital (87, 97, 6712396)-net over F₂₇	[i]
26	Digital (88, 98, 6713900)-net over F₂₇	[i]
27	Digital (89, 99, 6715096)-net over F₂₇	[i]
28	Digital (90, 100, 6716500)-net over F₂₇	[i]
29	Digital (91, 101, 6750248)-net over F₂₇	[i]
30	Digital (92, 102, 6750260)-net over F₂₇	[i]
31	Digital (93, 103, 6751808)-net over F₂₇	[i]
32	Digital (94, 104, 6792524)-net over F₂₇	[i]
33	Digital (95, 105, 7773768)-net over F₂₇	[i]
34	Digital (96, 106, 7773780)-net over F₂₇	[i]
35	Digital (97, 107, 7773880)-net over F₂₇	[i]
36	Digital (98, 108, 7776796)-net over F₂₇	[i]
37	Digital (99, 109, large)-net over F₂₇	[i]
38	Digital (61, 72, 3355440)-net over F₂₇	[i]
39	Digital (66, 77, 3355496)-net over F₂₇	[i]
40	Digital (67, 78, 3355516)-net over F₂₇	[i]
41	Digital (68, 79, 3356142)-net over F₂₇	[i]
42	Digital (70, 81, 3356198)-net over F₂₇	[i]
43	Digital (71, 82, 3356950)-net over F₂₇	[i]
44	Digital (72, 83, 3357548)-net over F₂₇	[i]
45	Digital (73, 84, 3358250)-net over F₂₇	[i]
46	Digital (74, 85, 3375124)-net over F₂₇	[i]
47	Digital (75, 86, 3375130)-net over F₂₇	[i]
48	Digital (76, 87, 3375904)-net over F₂₇	[i]
49	Digital (77, 88, 3396262)-net over F₂₇	[i]
50	Digital (78, 89, 3886884)-net over F₂₇	[i]
51	Digital (79, 90, 3886890)-net over F₂₇	[i]
52	Digital (80, 91, 3886940)-net over F₂₇	[i]
53	Digital (81, 92, 3888398)-net over F₂₇	[i]
54	Digital (82, 93, 6710880)-net over F₂₇	[i]
55	Digital (87, 98, 6710992)-net over F₂₇	[i]
56	Digital (88, 99, 6711032)-net over F₂₇	[i]
57	Digital (89, 100, 6712284)-net over F₂₇	[i]
58	Digital (91, 102, 6712396)-net over F₂₇	[i]
59	Digital (92, 103, 6713900)-net over F₂₇	[i]
60	Digital (93, 104, 6715096)-net over F₂₇	[i]
61	Digital (94, 105, 6716500)-net over F₂₇	[i]
62	Digital (95, 106, 6750248)-net over F₂₇	[i]
63	Digital (96, 107, 6750260)-net over F₂₇	[i]
64	Digital (97, 108, 6751808)-net over F₂₇	[i]
65	Digital (98, 109, 6792524)-net over F₂₇	[i]
66	Digital (99, 110, 7773768)-net over F₂₇	[i]
67	Digital (78, 89, 3889011)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
68	Digital (79, 90, 3889740)-net over F₂₇	[i]
69	Digital (79, 90, 4601245)-net over F₂₇	[i]
70	Digital (72, 82, 3376608)-net over F₂₇	[i]
71	Digital (73, 83, 3889011)-net over F₂₇	[i]
72	Digital (74, 84, 3889740)-net over F₂₇	[i]
73	Digital (74, 84, 4601245)-net over F₂₇	[i]
74	Digital (76, 87, 3376132)-net over F₂₇	[i]
75	Digital (77, 88, 3888535)-net over F₂₇	[i]
76	Digital (78, 89, 3889264)-net over F₂₇	[i]
77	Digital (78, 89, 4600769)-net over F₂₇	[i]
78	Digital (79, 90, 4601498)-net over F₂₇	[i]
79	Digital (79, 90, 5033356)-net over F₂₇	[i]
80	Digital (75, 86, 3376104)-net over F₂₇	[i]
81	Digital (76, 87, 3376833)-net over F₂₇	[i]
82	Digital (76, 87, 3888507)-net over F₂₇	[i]
83	Digital (77, 88, 3889236)-net over F₂₇	[i]
84	Digital (77, 88, 4600741)-net over F₂₇	[i]
85	Digital (78, 89, 4601470)-net over F₂₇	[i]
86	Digital (78, 89, 5033328)-net over F₂₇	[i]
87	Digital (79, 90, 5034057)-net over F₂₇	[i]
88	Digital (71, 81, 3376104)-net over F₂₇	[i]
89	Digital (72, 82, 3376833)-net over F₂₇	[i]
90	Digital (72, 82, 3888507)-net over F₂₇	[i]
91	Digital (73, 83, 3889236)-net over F₂₇	[i]
92	Digital (73, 83, 4600741)-net over F₂₇	[i]
93	Digital (74, 84, 4601470)-net over F₂₇	[i]
94	Digital (74, 84, 5033328)-net over F₂₇	[i]
95	Digital (74, 85, 3376076)-net over F₂₇	[i]
96	Digital (75, 86, 3376805)-net over F₂₇	[i]
97	Digital (75, 86, 3888479)-net over F₂₇	[i]
98	Digital (76, 87, 3889208)-net over F₂₇	[i]
99	Digital (76, 87, 4600713)-net over F₂₇	[i]
100	Digital (77, 88, 4601442)-net over F₂₇	[i]
101	Digital (79, 90, 5152566)-net over F₂₇	[i]
102	Digital (77, 88, 5033300)-net over F₂₇	[i]
103	Digital (78, 89, 5034029)-net over F₂₇	[i]
104	Digital (70, 80, 3376076)-net over F₂₇	[i]
105	Digital (71, 81, 3376805)-net over F₂₇	[i]
106	Digital (71, 81, 3888479)-net over F₂₇	[i]
107	Digital (72, 82, 3889208)-net over F₂₇	[i]
108	Digital (72, 82, 4600713)-net over F₂₇	[i]
109	Digital (73, 83, 4601442)-net over F₂₇	[i]
110	Digital (73, 83, 5033300)-net over F₂₇	[i]
111	Digital (74, 84, 5034029)-net over F₂₇	[i]
112	Digital (73, 84, 3359090)-net over F₂₇	[i]
113	Digital (73, 84, 3376048)-net over F₂₇	[i]
114	Digital (74, 85, 3376777)-net over F₂₇	[i]
115	Digital (74, 85, 3888451)-net over F₂₇	[i]
116	Digital (75, 86, 3889180)-net over F₂₇	[i]
117	Digital (75, 86, 4600685)-net over F₂₇	[i]
118	Digital (76, 87, 4601414)-net over F₂₇	[i]
119	Digital (78, 89, 5152538)-net over F₂₇	[i]
120	Digital (79, 90, 5154725)-net over F₂₇	[i]
121	Digital (79, 90, 5845790)-net over F₂₇	[i]
122	Digital (76, 87, 5033272)-net over F₂₇	[i]
123	Digital (77, 88, 5034001)-net over F₂₇	[i]
124	Digital (69, 79, 3359090)-net over F₂₇	[i]
125	Digital (69, 79, 3376048)-net over F₂₇	[i]
126	Digital (70, 80, 3376777)-net over F₂₇	[i]
127	Digital (70, 80, 3888451)-net over F₂₇	[i]
128	Digital (71, 81, 3889180)-net over F₂₇	[i]
129	Digital (71, 81, 4600685)-net over F₂₇	[i]
130	Digital (72, 82, 4601414)-net over F₂₇	[i]
131	Digital (74, 84, 5152538)-net over F₂₇	[i]
132	Digital (72, 82, 5033272)-net over F₂₇	[i]
133	Digital (73, 83, 5034001)-net over F₂₇	[i]
134	Digital (70, 81, 3356254)-net over F₂₇	[i]
135	Digital (71, 82, 3356956)-net over F₂₇	[i]
136	Digital (72, 83, 3358360)-net over F₂₇	[i]
137	Digital (71, 82, 3357232)-net over F₂₇	[i]
138	Digital (72, 83, 3376020)-net over F₂₇	[i]
139	Digital (73, 84, 3376749)-net over F₂₇	[i]
140	Digital (73, 84, 3888423)-net over F₂₇	[i]
141	Digital (74, 85, 3889152)-net over F₂₇	[i]
142	Digital (74, 85, 4600657)-net over F₂₇	[i]
143	Digital (75, 86, 4601386)-net over F₂₇	[i]
144	Digital (77, 88, 5152510)-net over F₂₇	[i]
145	Digital (78, 89, 5153968)-net over F₂₇	[i]
146	Digital (78, 89, 5845762)-net over F₂₇	[i]
147	Digital (79, 90, 5847220)-net over F₂₇	[i]
148	Digital (75, 86, 5033244)-net over F₂₇	[i]
149	Digital (76, 87, 5033973)-net over F₂₇	[i]
150	Digital (79, 90, 6710936)-net over F₂₇	[i]
151	Digital (66, 76, 3356254)-net over F₂₇	[i]
152	Digital (67, 77, 3356956)-net over F₂₇	[i]
153	Digital (68, 78, 3358360)-net over F₂₇	[i]
154	Digital (67, 77, 3357232)-net over F₂₇	[i]
155	Digital (68, 78, 3376020)-net over F₂₇	[i]
156	Digital (69, 79, 3376749)-net over F₂₇	[i]
157	Digital (69, 79, 3888423)-net over F₂₇	[i]
158	Digital (70, 80, 3889152)-net over F₂₇	[i]
159	Digital (70, 80, 4600657)-net over F₂₇	[i]
160	Digital (71, 81, 4601386)-net over F₂₇	[i]
161	Digital (73, 83, 5152510)-net over F₂₇	[i]
162	Digital (74, 84, 5153968)-net over F₂₇	[i]
163	Digital (74, 84, 5845762)-net over F₂₇	[i]
164	Digital (71, 81, 5033244)-net over F₂₇	[i]
165	Digital (72, 82, 5033973)-net over F₂₇	[i]
166	Digital (69, 80, 3356226)-net over F₂₇	[i]
167	Digital (70, 81, 3356928)-net over F₂₇	[i]
168	Digital (71, 82, 3357630)-net over F₂₇	[i]
169	Digital (70, 81, 3357204)-net over F₂₇	[i]
170	Digital (71, 82, 3357933)-net over F₂₇	[i]
171	Digital (71, 82, 3375992)-net over F₂₇	[i]
172	Digital (72, 83, 3376721)-net over F₂₇	[i]
173	Digital (72, 83, 3888395)-net over F₂₇	[i]
174	Digital (73, 84, 3889124)-net over F₂₇	[i]
175	Digital (73, 84, 4600629)-net over F₂₇	[i]
176	Digital (74, 85, 4601358)-net over F₂₇	[i]
177	Digital (76, 87, 5152482)-net over F₂₇	[i]
178	Digital (77, 88, 5153211)-net over F₂₇	[i]
179	Digital (77, 88, 5845734)-net over F₂₇	[i]
180	Digital (78, 89, 5846463)-net over F₂₇	[i]
181	Digital (74, 85, 5033216)-net over F₂₇	[i]
182	Digital (75, 86, 5033945)-net over F₂₇	[i]
183	Digital (78, 89, 6710908)-net over F₂₇	[i]
184	Digital (79, 90, 6711637)-net over F₂₇	[i]
185	Digital (65, 75, 3356226)-net over F₂₇	[i]
186	Digital (66, 76, 3356928)-net over F₂₇	[i]
187	Digital (67, 77, 3357630)-net over F₂₇	[i]
188	Digital (66, 76, 3357204)-net over F₂₇	[i]
189	Digital (67, 77, 3357933)-net over F₂₇	[i]
190	Digital (67, 77, 3375992)-net over F₂₇	[i]
191	Digital (68, 78, 3376721)-net over F₂₇	[i]
192	Digital (68, 78, 3888395)-net over F₂₇	[i]
193	Digital (69, 79, 3889124)-net over F₂₇	[i]
194	Digital (69, 79, 4600629)-net over F₂₇	[i]
195	Digital (70, 80, 4601358)-net over F₂₇	[i]
196	Digital (72, 82, 5152482)-net over F₂₇	[i]
197	Digital (73, 83, 5153211)-net over F₂₇	[i]
198	Digital (73, 83, 5845734)-net over F₂₇	[i]
199	Digital (74, 84, 5846463)-net over F₂₇	[i]
200	Digital (70, 80, 5033216)-net over F₂₇	[i]
201	Digital (71, 81, 5033945)-net over F₂₇	[i]
202	Digital (74, 84, 6710908)-net over F₂₇	[i]
203	Digital (67, 78, 3356198)-net over F₂₇	[i]
204	Digital (68, 79, 3356900)-net over F₂₇	[i]
205	Digital (68, 79, 3357176)-net over F₂₇	[i]
206	Digital (69, 80, 3357905)-net over F₂₇	[i]
207	Digital (70, 81, 3358856)-net over F₂₇	[i]
208	Digital (69, 80, 3375964)-net over F₂₇	[i]
209	Digital (70, 81, 3376693)-net over F₂₇	[i]
210	Digital (71, 82, 3396376)-net over F₂₇	[i]
211	Digital (70, 81, 3888367)-net over F₂₇	[i]
212	Digital (71, 82, 3889096)-net over F₂₇	[i]
213	Digital (72, 83, 3908779)-net over F₂₇	[i]
214	Digital (71, 82, 4600601)-net over F₂₇	[i]
215	Digital (72, 83, 4601330)-net over F₂₇	[i]
216	Digital (73, 84, 4621013)-net over F₂₇	[i]
217	Digital (74, 85, 5152454)-net over F₂₇	[i]
218	Digital (75, 86, 5845706)-net over F₂₇	[i]
219	Digital (72, 83, 5033188)-net over F₂₇	[i]
220	Digital (73, 84, 5033917)-net over F₂₇	[i]
221	Digital (76, 87, 6710880)-net over F₂₇	[i]
222	Digital (63, 73, 3356198)-net over F₂₇	[i]
223	Digital (64, 74, 3356900)-net over F₂₇	[i]
224	Digital (64, 74, 3357176)-net over F₂₇	[i]
225	Digital (65, 75, 3357905)-net over F₂₇	[i]
226	Digital (66, 76, 3358856)-net over F₂₇	[i]
227	Digital (65, 75, 3375964)-net over F₂₇	[i]
228	Digital (66, 76, 3376693)-net over F₂₇	[i]
229	Digital (67, 77, 3396376)-net over F₂₇	[i]
230	Digital (66, 76, 3888367)-net over F₂₇	[i]
231	Digital (67, 77, 3889096)-net over F₂₇	[i]
232	Digital (68, 78, 3908779)-net over F₂₇	[i]
233	Digital (67, 77, 4600601)-net over F₂₇	[i]
234	Digital (68, 78, 4601330)-net over F₂₇	[i]
235	Digital (69, 79, 4621013)-net over F₂₇	[i]
236	Digital (70, 80, 5152454)-net over F₂₇	[i]
237	Digital (71, 81, 5845706)-net over F₂₇	[i]
238	Digital (68, 78, 5033188)-net over F₂₇	[i]
239	Digital (69, 79, 5033917)-net over F₂₇	[i]
240	Digital (72, 82, 6710880)-net over F₂₇	[i]
241	Digital (64, 75, 3355468)-net over F₂₇	[i]
242	Digital (65, 76, 3356170)-net over F₂₇	[i]
243	Digital (66, 77, 3357148)-net over F₂₇	[i]
244	Digital (67, 78, 3375936)-net over F₂₇	[i]
245	Digital (68, 79, 3888339)-net over F₂₇	[i]
246	Digital (69, 80, 4600573)-net over F₂₇	[i]
247	Digital (70, 81, 5033160)-net over F₂₇	[i]
248	Digital (60, 70, 3355468)-net over F₂₇	[i]
249	Digital (61, 71, 3356170)-net over F₂₇	[i]
250	Digital (62, 72, 3357148)-net over F₂₇	[i]
251	Digital (63, 73, 3375936)-net over F₂₇	[i]
252	Digital (64, 74, 3888339)-net over F₂₇	[i]
253	Digital (65, 75, 4600573)-net over F₂₇	[i]
254	Digital (66, 76, 5033160)-net over F₂₇	[i]
255	Digital (23, 28, large)-net over F₂₇	[i]