MinT - Information on Result #520998

Information on Result #520998

There is no (0, 3, 5)-net in base 3, because extracting embedded orthogonal array would yield OA(3³, 5, S₃, 3), but

the (dual) Plotkin bound shows that MÂ â‰¥ 81 / 2 > 3³ [i]

Mode: Bound.

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	No (0, 4, 5)-net in base 3	[i]	m-Reduction
2	No (0, 5, 5)-net in base 3	[i]
3	No (0, 6, 5)-net in base 3	[i]
4	No (0, 7, 5)-net in base 3	[i]
5	No (0, 8, 5)-net in base 3	[i]
6	No (0, 9, 5)-net in base 3	[i]
7	No (0, 10, 5)-net in base 3	[i]
8	No (0, 11, 5)-net in base 3	[i]
9	No (0, 12, 5)-net in base 3	[i]
10	No (0, 13, 5)-net in base 3	[i]
11	No (0, 14, 5)-net in base 3	[i]
12	No (0, 15, 5)-net in base 3	[i]
13	No (0, 16, 5)-net in base 3	[i]
14	No (0, 17, 5)-net in base 3	[i]
15	No (0, 18, 5)-net in base 3	[i]
16	No (0, 19, 5)-net in base 3	[i]
17	No (0, 20, 5)-net in base 3	[i]
18	No (0, 21, 5)-net in base 3	[i]
19	No (0, 22, 5)-net in base 3	[i]
20	No (0, 23, 5)-net in base 3	[i]
21	No (0, 24, 5)-net in base 3	[i]
22	No (0, 25, 5)-net in base 3	[i]
23	No (0, 26, 5)-net in base 3	[i]
24	No (0, 27, 5)-net in base 3	[i]
25	No (0, 28, 5)-net in base 3	[i]
26	No (0, 29, 5)-net in base 3	[i]
27	No (0, 30, 5)-net in base 3	[i]
28	No (0, 31, 5)-net in base 3	[i]
29	No (0, 32, 5)-net in base 3	[i]
30	No (0, 33, 5)-net in base 3	[i]
31	No (0, 34, 5)-net in base 3	[i]
32	No (0, 35, 5)-net in base 3	[i]
33	No (0, 36, 5)-net in base 3	[i]
34	No (0, 37, 5)-net in base 3	[i]
35	No (0, 38, 5)-net in base 3	[i]
36	No (0, 39, 5)-net in base 3	[i]
37	No (0, 40, 5)-net in base 3	[i]
38	No (0, 41, 5)-net in base 3	[i]
39	No (0, 42, 5)-net in base 3	[i]
40	No (0, 43, 5)-net in base 3	[i]
41	No (0, 44, 5)-net in base 3	[i]
42	No (0, 45, 5)-net in base 3	[i]
43	No (0, 46, 5)-net in base 3	[i]
44	No (0, 47, 5)-net in base 3	[i]
45	No (0, 48, 5)-net in base 3	[i]
46	No (0, 49, 5)-net in base 3	[i]
47	No (0, 50, 5)-net in base 3	[i]
48	No (0, 51, 5)-net in base 3	[i]
49	No (0, 52, 5)-net in base 3	[i]
50	No (0, 53, 5)-net in base 3	[i]
51	No (0, 54, 5)-net in base 3	[i]
52	No (0, 55, 5)-net in base 3	[i]
53	No (0, 56, 5)-net in base 3	[i]
54	No (0, 57, 5)-net in base 3	[i]
55	No (0, 58, 5)-net in base 3	[i]
56	No (0, 59, 5)-net in base 3	[i]
57	No (0, 60, 5)-net in base 3	[i]
58	No (0, 61, 5)-net in base 3	[i]
59	No (0, 62, 5)-net in base 3	[i]
60	No (0, 63, 5)-net in base 3	[i]
61	No (0, 64, 5)-net in base 3	[i]
62	No (0, 65, 5)-net in base 3	[i]
63	No (0, 66, 5)-net in base 3	[i]
64	No (0, 67, 5)-net in base 3	[i]
65	No (0, 68, 5)-net in base 3	[i]
66	No (0, 69, 5)-net in base 3	[i]
67	No (0, 70, 5)-net in base 3	[i]
68	No (0, 71, 5)-net in base 3	[i]
69	No (0, 72, 5)-net in base 3	[i]
70	No (0, 73, 5)-net in base 3	[i]
71	No (0, 74, 5)-net in base 3	[i]
72	No (0, 75, 5)-net in base 3	[i]
73	No (0, 76, 5)-net in base 3	[i]
74	No (0, 77, 5)-net in base 3	[i]
75	No (0, 78, 5)-net in base 3	[i]
76	No (0, 79, 5)-net in base 3	[i]
77	No (0, 80, 5)-net in base 3	[i]
78	No (0, 81, 5)-net in base 3	[i]
79	No (0, 82, 5)-net in base 3	[i]
80	No (0, 83, 5)-net in base 3	[i]
81	No (0, 84, 5)-net in base 3	[i]
82	No (0, 85, 5)-net in base 3	[i]
83	No (0, 86, 5)-net in base 3	[i]
84	No (0, 87, 5)-net in base 3	[i]
85	No (0, 88, 5)-net in base 3	[i]
86	No (0, 89, 5)-net in base 3	[i]
87	No (0, 90, 5)-net in base 3	[i]
88	No (0, 91, 5)-net in base 3	[i]
89	No (0, 92, 5)-net in base 3	[i]
90	No (0, 93, 5)-net in base 3	[i]
91	No (0, 94, 5)-net in base 3	[i]
92	No (0, 95, 5)-net in base 3	[i]
93	No (0, 96, 5)-net in base 3	[i]
94	No (0, 97, 5)-net in base 3	[i]
95	No (0, 98, 5)-net in base 3	[i]
96	No (0, 99, 5)-net in base 3	[i]
97	No (0, 100, 5)-net in base 3	[i]
98	No (0, 101, 5)-net in base 3	[i]
99	No (0, 102, 5)-net in base 3	[i]
100	No (0, 103, 5)-net in base 3	[i]
101	No (0, 104, 5)-net in base 3	[i]
102	No (0, 105, 5)-net in base 3	[i]
103	No (0, 106, 5)-net in base 3	[i]
104	No (0, 107, 5)-net in base 3	[i]
105	No (0, 108, 5)-net in base 3	[i]
106	No (0, 109, 5)-net in base 3	[i]
107	No (0, 110, 5)-net in base 3	[i]
108	No (0, 111, 5)-net in base 3	[i]
109	No (0, 112, 5)-net in base 3	[i]
110	No (0, 113, 5)-net in base 3	[i]
111	No (0, 114, 5)-net in base 3	[i]
112	No (0, 115, 5)-net in base 3	[i]
113	No (0, 116, 5)-net in base 3	[i]
114	No (0, 117, 5)-net in base 3	[i]
115	No (0, 118, 5)-net in base 3	[i]
116	No (0, 119, 5)-net in base 3	[i]
117	No (0, 120, 5)-net in base 3	[i]
118	No (0, 121, 5)-net in base 3	[i]
119	No (0, 122, 5)-net in base 3	[i]
120	No (0, 123, 5)-net in base 3	[i]
121	No (0, 124, 5)-net in base 3	[i]
122	No (0, 125, 5)-net in base 3	[i]
123	No (0, 126, 5)-net in base 3	[i]
124	No (0, 127, 5)-net in base 3	[i]
125	No (0, 128, 5)-net in base 3	[i]
126	No (0, 129, 5)-net in base 3	[i]
127	No (0, 130, 5)-net in base 3	[i]
128	No (0, 131, 5)-net in base 3	[i]
129	No (0, 132, 5)-net in base 3	[i]
130	No (0, 133, 5)-net in base 3	[i]
131	No (0, 134, 5)-net in base 3	[i]
132	No (0, 135, 5)-net in base 3	[i]
133	No (0, 136, 5)-net in base 3	[i]
134	No (0, 137, 5)-net in base 3	[i]
135	No (0, 138, 5)-net in base 3	[i]
136	No (0, 139, 5)-net in base 3	[i]
137	No (0, 140, 5)-net in base 3	[i]
138	No (0, 141, 5)-net in base 3	[i]
139	No (0, 142, 5)-net in base 3	[i]
140	No (0, 143, 5)-net in base 3	[i]
141	No (0, 144, 5)-net in base 3	[i]
142	No (0, 145, 5)-net in base 3	[i]
143	No (0, 146, 5)-net in base 3	[i]
144	No (0, 147, 5)-net in base 3	[i]
145	No (0, 148, 5)-net in base 3	[i]
146	No (0, 149, 5)-net in base 3	[i]
147	No (0, 150, 5)-net in base 3	[i]
148	No (0, 151, 5)-net in base 3	[i]
149	No (0, 152, 5)-net in base 3	[i]
150	No (0, 153, 5)-net in base 3	[i]
151	No (0, 154, 5)-net in base 3	[i]
152	No (0, 155, 5)-net in base 3	[i]
153	No (0, 156, 5)-net in base 3	[i]
154	No (0, 157, 5)-net in base 3	[i]
155	No (0, 158, 5)-net in base 3	[i]
156	No (0, 159, 5)-net in base 3	[i]
157	No (0, 160, 5)-net in base 3	[i]
158	No (0, 161, 5)-net in base 3	[i]
159	No (0, 162, 5)-net in base 3	[i]
160	No (0, 163, 5)-net in base 3	[i]
161	No (0, 164, 5)-net in base 3	[i]
162	No (0, 165, 5)-net in base 3	[i]
163	No (0, 166, 5)-net in base 3	[i]
164	No (0, 167, 5)-net in base 3	[i]
165	No (0, 168, 5)-net in base 3	[i]
166	No (0, 169, 5)-net in base 3	[i]
167	No (0, 170, 5)-net in base 3	[i]
168	No (0, 171, 5)-net in base 3	[i]
169	No (0, 172, 5)-net in base 3	[i]
170	No (0, 173, 5)-net in base 3	[i]
171	No (0, 174, 5)-net in base 3	[i]
172	No (0, 175, 5)-net in base 3	[i]
173	No (0, 176, 5)-net in base 3	[i]
174	No (0, 177, 5)-net in base 3	[i]
175	No (0, 178, 5)-net in base 3	[i]
176	No (0, 179, 5)-net in base 3	[i]
177	No (0, 180, 5)-net in base 3	[i]
178	No (0, 181, 5)-net in base 3	[i]
179	No (0, 182, 5)-net in base 3	[i]
180	No (0, 183, 5)-net in base 3	[i]
181	No (0, 184, 5)-net in base 3	[i]
182	No (0, 185, 5)-net in base 3	[i]
183	No (0, 186, 5)-net in base 3	[i]
184	No (0, 187, 5)-net in base 3	[i]
185	No (0, 188, 5)-net in base 3	[i]
186	No (0, 189, 5)-net in base 3	[i]
187	No (0, 190, 5)-net in base 3	[i]
188	No (0, 191, 5)-net in base 3	[i]
189	No (0, 192, 5)-net in base 3	[i]
190	No (0, 193, 5)-net in base 3	[i]
191	No (0, 194, 5)-net in base 3	[i]
192	No (0, 195, 5)-net in base 3	[i]
193	No (0, 196, 5)-net in base 3	[i]
194	No (0, 197, 5)-net in base 3	[i]
195	No (0, 198, 5)-net in base 3	[i]
196	No (0, 199, 5)-net in base 3	[i]
197	No (0, 200, 5)-net in base 3	[i]
198	No (0, 201, 5)-net in base 3	[i]
199	No (0, 202, 5)-net in base 3	[i]
200	No (0, 203, 5)-net in base 3	[i]
201	No (0, 204, 5)-net in base 3	[i]
202	No (0, 205, 5)-net in base 3	[i]
203	No (0, 206, 5)-net in base 3	[i]
204	No (0, 207, 5)-net in base 3	[i]
205	No (0, 208, 5)-net in base 3	[i]
206	No (0, 209, 5)-net in base 3	[i]
207	No (0, 210, 5)-net in base 3	[i]
208	No (0, 211, 5)-net in base 3	[i]
209	No (0, 212, 5)-net in base 3	[i]
210	No (0, 213, 5)-net in base 3	[i]
211	No (0, 214, 5)-net in base 3	[i]
212	No (0, 215, 5)-net in base 3	[i]
213	No (0, 216, 5)-net in base 3	[i]
214	No (0, 217, 5)-net in base 3	[i]
215	No (0, 218, 5)-net in base 3	[i]
216	No (0, 219, 5)-net in base 3	[i]
217	No (0, 220, 5)-net in base 3	[i]
218	No (0, 221, 5)-net in base 3	[i]
219	No (0, 222, 5)-net in base 3	[i]
220	No (0, 223, 5)-net in base 3	[i]
221	No (0, 224, 5)-net in base 3	[i]
222	No (0, 225, 5)-net in base 3	[i]
223	No (0, 226, 5)-net in base 3	[i]
224	No (0, 227, 5)-net in base 3	[i]
225	No (0, 228, 5)-net in base 3	[i]
226	No (0, 229, 5)-net in base 3	[i]
227	No (0, 230, 5)-net in base 3	[i]
228	No (0, 231, 5)-net in base 3	[i]
229	No (0, 232, 5)-net in base 3	[i]
230	No (0, 233, 5)-net in base 3	[i]
231	No (0, 234, 5)-net in base 3	[i]
232	No (0, 235, 5)-net in base 3	[i]
233	No (0, 236, 5)-net in base 3	[i]
234	No (0, 237, 5)-net in base 3	[i]
235	No (0, 238, 5)-net in base 3	[i]
236	No (0, 239, 5)-net in base 3	[i]
237	No (0, 240, 5)-net in base 3	[i]
238	No (0, 241, 5)-net in base 3	[i]
239	No (0, 242, 5)-net in base 3	[i]
240	No (0, 243, 5)-net in base 3	[i]
241	No (0, 244, 5)-net in base 3	[i]
242	No (0, 245, 5)-net in base 3	[i]
243	No (0, 246, 5)-net in base 3	[i]
244	No (0, 247, 5)-net in base 3	[i]
245	No (0, 248, 5)-net in base 3	[i]
246	No (0, 249, 5)-net in base 3	[i]
247	No (0, 250, 5)-net in base 3	[i]