Information on Result #486832

There is no (0, 2, 6)-net in base 4, because the generalized Rao bound for nets shows that 4m ≥ 19 > 42

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1No (0, 3, 6)-net in base 4 [i]m-Reduction
2No (0, 4, 6)-net in base 4 [i]
3No (0, 5, 6)-net in base 4 [i]
4No (0, 6, 6)-net in base 4 [i]
5No (0, 7, 6)-net in base 4 [i]
6No (0, 8, 6)-net in base 4 [i]
7No (0, 9, 6)-net in base 4 [i]
8No (0, 10, 6)-net in base 4 [i]
9No (0, 11, 6)-net in base 4 [i]
10No (0, 12, 6)-net in base 4 [i]
11No (0, 13, 6)-net in base 4 [i]
12No (0, 14, 6)-net in base 4 [i]
13No (0, 15, 6)-net in base 4 [i]
14No (0, 16, 6)-net in base 4 [i]
15No (0, 17, 6)-net in base 4 [i]
16No (0, 18, 6)-net in base 4 [i]
17No (0, 19, 6)-net in base 4 [i]
18No (0, 20, 6)-net in base 4 [i]
19No (0, 21, 6)-net in base 4 [i]
20No (0, 22, 6)-net in base 4 [i]
21No (0, 23, 6)-net in base 4 [i]
22No (0, 24, 6)-net in base 4 [i]
23No (0, 25, 6)-net in base 4 [i]
24No (0, 26, 6)-net in base 4 [i]
25No (0, 27, 6)-net in base 4 [i]
26No (0, 28, 6)-net in base 4 [i]
27No (0, 29, 6)-net in base 4 [i]
28No (0, 30, 6)-net in base 4 [i]
29No (0, 31, 6)-net in base 4 [i]
30No (0, 32, 6)-net in base 4 [i]
31No (0, 33, 6)-net in base 4 [i]
32No (0, 34, 6)-net in base 4 [i]
33No (0, 35, 6)-net in base 4 [i]
34No (0, 36, 6)-net in base 4 [i]
35No (0, 37, 6)-net in base 4 [i]
36No (0, 38, 6)-net in base 4 [i]
37No (0, 39, 6)-net in base 4 [i]
38No (0, 40, 6)-net in base 4 [i]
39No (0, 41, 6)-net in base 4 [i]
40No (0, 42, 6)-net in base 4 [i]
41No (0, 43, 6)-net in base 4 [i]
42No (0, 44, 6)-net in base 4 [i]
43No (0, 45, 6)-net in base 4 [i]
44No (0, 46, 6)-net in base 4 [i]
45No (0, 47, 6)-net in base 4 [i]
46No (0, 48, 6)-net in base 4 [i]
47No (0, 49, 6)-net in base 4 [i]
48No (0, 50, 6)-net in base 4 [i]
49No (0, 51, 6)-net in base 4 [i]
50No (0, 52, 6)-net in base 4 [i]
51No (0, 53, 6)-net in base 4 [i]
52No (0, 54, 6)-net in base 4 [i]
53No (0, 55, 6)-net in base 4 [i]
54No (0, 56, 6)-net in base 4 [i]
55No (0, 57, 6)-net in base 4 [i]
56No (0, 58, 6)-net in base 4 [i]
57No (0, 59, 6)-net in base 4 [i]
58No (0, 60, 6)-net in base 4 [i]
59No (0, 61, 6)-net in base 4 [i]
60No (0, 62, 6)-net in base 4 [i]
61No (0, 63, 6)-net in base 4 [i]
62No (0, 64, 6)-net in base 4 [i]
63No (0, 65, 6)-net in base 4 [i]
64No (0, 66, 6)-net in base 4 [i]
65No (0, 67, 6)-net in base 4 [i]
66No (0, 68, 6)-net in base 4 [i]
67No (0, 69, 6)-net in base 4 [i]
68No (0, 70, 6)-net in base 4 [i]
69No (0, 71, 6)-net in base 4 [i]
70No (0, 72, 6)-net in base 4 [i]
71No (0, 73, 6)-net in base 4 [i]
72No (0, 74, 6)-net in base 4 [i]
73No (0, 75, 6)-net in base 4 [i]
74No (0, 76, 6)-net in base 4 [i]
75No (0, 77, 6)-net in base 4 [i]
76No (0, 78, 6)-net in base 4 [i]
77No (0, 79, 6)-net in base 4 [i]
78No (0, 80, 6)-net in base 4 [i]
79No (0, 81, 6)-net in base 4 [i]
80No (0, 82, 6)-net in base 4 [i]
81No (0, 83, 6)-net in base 4 [i]
82No (0, 84, 6)-net in base 4 [i]
83No (0, 85, 6)-net in base 4 [i]
84No (0, 86, 6)-net in base 4 [i]
85No (0, 87, 6)-net in base 4 [i]
86No (0, 88, 6)-net in base 4 [i]
87No (0, 89, 6)-net in base 4 [i]
88No (0, 90, 6)-net in base 4 [i]
89No (0, 91, 6)-net in base 4 [i]
90No (0, 92, 6)-net in base 4 [i]
91No (0, 93, 6)-net in base 4 [i]
92No (0, 94, 6)-net in base 4 [i]
93No (0, 95, 6)-net in base 4 [i]
94No (0, 96, 6)-net in base 4 [i]
95No (0, 97, 6)-net in base 4 [i]
96No (0, 98, 6)-net in base 4 [i]
97No (0, 99, 6)-net in base 4 [i]
98No (0, 100, 6)-net in base 4 [i]
99No (0, 101, 6)-net in base 4 [i]
100No (0, 102, 6)-net in base 4 [i]
101No (0, 103, 6)-net in base 4 [i]
102No (0, 104, 6)-net in base 4 [i]
103No (0, 105, 6)-net in base 4 [i]
104No (0, 106, 6)-net in base 4 [i]
105No (0, 107, 6)-net in base 4 [i]
106No (0, 108, 6)-net in base 4 [i]
107No (0, 109, 6)-net in base 4 [i]
108No (0, 110, 6)-net in base 4 [i]
109No (0, 111, 6)-net in base 4 [i]
110No (0, 112, 6)-net in base 4 [i]
111No (0, 113, 6)-net in base 4 [i]
112No (0, 114, 6)-net in base 4 [i]
113No (0, 115, 6)-net in base 4 [i]
114No (0, 116, 6)-net in base 4 [i]
115No (0, 117, 6)-net in base 4 [i]
116No (0, 118, 6)-net in base 4 [i]
117No (0, 119, 6)-net in base 4 [i]
118No (0, 120, 6)-net in base 4 [i]
119No (0, 121, 6)-net in base 4 [i]
120No (0, 122, 6)-net in base 4 [i]
121No (0, 123, 6)-net in base 4 [i]
122No (0, 124, 6)-net in base 4 [i]
123No (0, 125, 6)-net in base 4 [i]
124No (0, 126, 6)-net in base 4 [i]
125No (0, 127, 6)-net in base 4 [i]
126No (0, 128, 6)-net in base 4 [i]
127No (0, 129, 6)-net in base 4 [i]
128No (0, 130, 6)-net in base 4 [i]
129No (0, 131, 6)-net in base 4 [i]
130No (0, 132, 6)-net in base 4 [i]
131No (0, 133, 6)-net in base 4 [i]
132No (0, 134, 6)-net in base 4 [i]
133No (0, 135, 6)-net in base 4 [i]
134No (0, 136, 6)-net in base 4 [i]
135No (0, 137, 6)-net in base 4 [i]
136No (0, 138, 6)-net in base 4 [i]
137No (0, 139, 6)-net in base 4 [i]
138No (0, 140, 6)-net in base 4 [i]
139No (0, 141, 6)-net in base 4 [i]
140No (0, 142, 6)-net in base 4 [i]
141No (0, 143, 6)-net in base 4 [i]
142No (0, 144, 6)-net in base 4 [i]
143No (0, 145, 6)-net in base 4 [i]
144No (0, 146, 6)-net in base 4 [i]
145No (0, 147, 6)-net in base 4 [i]
146No (0, 148, 6)-net in base 4 [i]
147No (0, 149, 6)-net in base 4 [i]
148No (0, 150, 6)-net in base 4 [i]
149No (0, 151, 6)-net in base 4 [i]
150No (0, 152, 6)-net in base 4 [i]
151No (0, 153, 6)-net in base 4 [i]
152No (0, 154, 6)-net in base 4 [i]
153No (0, 155, 6)-net in base 4 [i]
154No (0, 156, 6)-net in base 4 [i]
155No (0, 157, 6)-net in base 4 [i]
156No (0, 158, 6)-net in base 4 [i]
157No (0, 159, 6)-net in base 4 [i]
158No (0, 160, 6)-net in base 4 [i]
159No (0, 161, 6)-net in base 4 [i]
160No (0, 162, 6)-net in base 4 [i]
161No (0, 163, 6)-net in base 4 [i]
162No (0, 164, 6)-net in base 4 [i]
163No (0, 165, 6)-net in base 4 [i]
164No (0, 166, 6)-net in base 4 [i]
165No (0, 167, 6)-net in base 4 [i]
166No (0, 168, 6)-net in base 4 [i]
167No (0, 169, 6)-net in base 4 [i]
168No (0, 170, 6)-net in base 4 [i]
169No (0, 171, 6)-net in base 4 [i]
170No (0, 172, 6)-net in base 4 [i]
171No (0, 173, 6)-net in base 4 [i]
172No (0, 174, 6)-net in base 4 [i]
173No (0, 175, 6)-net in base 4 [i]
174No (0, 176, 6)-net in base 4 [i]
175No (0, 177, 6)-net in base 4 [i]
176No (0, 178, 6)-net in base 4 [i]
177No (0, 179, 6)-net in base 4 [i]
178No (0, 180, 6)-net in base 4 [i]
179No (0, 181, 6)-net in base 4 [i]
180No (0, 182, 6)-net in base 4 [i]
181No (0, 183, 6)-net in base 4 [i]
182No (0, 184, 6)-net in base 4 [i]
183No (0, 185, 6)-net in base 4 [i]
184No (0, 186, 6)-net in base 4 [i]
185No (0, 187, 6)-net in base 4 [i]
186No (0, 188, 6)-net in base 4 [i]
187No (0, 189, 6)-net in base 4 [i]
188No (0, 190, 6)-net in base 4 [i]
189No (0, 191, 6)-net in base 4 [i]
190No (0, 192, 6)-net in base 4 [i]
191No (0, 193, 6)-net in base 4 [i]
192No (0, 194, 6)-net in base 4 [i]
193No (0, 195, 6)-net in base 4 [i]
194No (0, 196, 6)-net in base 4 [i]
195No (0, 197, 6)-net in base 4 [i]
196No (0, 198, 6)-net in base 4 [i]
197No (0, 199, 6)-net in base 4 [i]
198No (0, 200, 6)-net in base 4 [i]
199No (0, 201, 6)-net in base 4 [i]
200No (0, 202, 6)-net in base 4 [i]
201No (0, 203, 6)-net in base 4 [i]
202No (0, 204, 6)-net in base 4 [i]
203No (0, 205, 6)-net in base 4 [i]
204No (0, 206, 6)-net in base 4 [i]
205No (0, 207, 6)-net in base 4 [i]
206No (0, 208, 6)-net in base 4 [i]
207No (0, 209, 6)-net in base 4 [i]
208No (0, 210, 6)-net in base 4 [i]
209No (0, 211, 6)-net in base 4 [i]
210No (0, 212, 6)-net in base 4 [i]
211No (0, 213, 6)-net in base 4 [i]
212No (0, 214, 6)-net in base 4 [i]
213No (0, 215, 6)-net in base 4 [i]
214No (0, 216, 6)-net in base 4 [i]
215No (0, 217, 6)-net in base 4 [i]
216No (0, 218, 6)-net in base 4 [i]
217No (0, 219, 6)-net in base 4 [i]
218No (0, 220, 6)-net in base 4 [i]
219No (0, 221, 6)-net in base 4 [i]
220No (0, 222, 6)-net in base 4 [i]
221No (0, 223, 6)-net in base 4 [i]
222No (0, 224, 6)-net in base 4 [i]
223No (0, 225, 6)-net in base 4 [i]
224No (0, 226, 6)-net in base 4 [i]
225No (0, 227, 6)-net in base 4 [i]
226No (0, 228, 6)-net in base 4 [i]
227No (0, 229, 6)-net in base 4 [i]
228No (0, 230, 6)-net in base 4 [i]
229No (0, 231, 6)-net in base 4 [i]
230No (0, 232, 6)-net in base 4 [i]
231No (0, 233, 6)-net in base 4 [i]
232No (0, 234, 6)-net in base 4 [i]
233No (0, 235, 6)-net in base 4 [i]
234No (0, 236, 6)-net in base 4 [i]
235No (0, 237, 6)-net in base 4 [i]
236No (0, 238, 6)-net in base 4 [i]
237No (0, 239, 6)-net in base 4 [i]
238No (0, 240, 6)-net in base 4 [i]
239No (0, 241, 6)-net in base 4 [i]
240No (0, 242, 6)-net in base 4 [i]
241No (0, 243, 6)-net in base 4 [i]
242No (0, 244, 6)-net in base 4 [i]
243No (0, 245, 6)-net in base 4 [i]
244No (0, 246, 6)-net in base 4 [i]
245No (0, 247, 6)-net in base 4 [i]
246No (0, 248, 6)-net in base 4 [i]
247No (0, 249, 6)-net in base 4 [i]
248No (0, 250, 6)-net in base 4 [i]
249No (0, 251, 6)-net in base 4 [i]
250No (0, 252, 6)-net in base 4 [i]
251No (0, 253, 6)-net in base 4 [i]
252No (0, 254, 6)-net in base 4 [i]
253No (0, 255, 6)-net in base 4 [i]
254No (0, 256, 6)-net in base 4 [i]
255No (0, 257, 6)-net in base 4 [i]
256No (0, 258, 6)-net in base 4 [i]
257No (0, 259, 6)-net in base 4 [i]
258No (0, 260, 6)-net in base 4 [i]
259No (0, m, 6)-net in base 4 for arbitrarily large m [i]m-Reduction from Arbitrarily Large Net