Values and bounds for n8(4, d) for d = 1-160,
161-320, 321-480,
481-640
641-800
801-832
BACK
d
|
g8(4,d)
|
n8(4,d)
|
|
d
|
g8(4,d)
|
n8(4,d)
|
|
d
|
g8(4,d)
|
n8(4,d)
|
|
d
|
g8(4,d)
|
n8(4,d)
|
1
|
4
|
4
|
|
41
|
49
|
49-50
|
|
81
|
95
|
95-96
|
|
121
|
140
|
141-142
|
2
|
5
|
5
|
|
42
|
50
|
50-51
|
|
82
|
96
|
96-97
|
|
122
|
141
|
142-143
|
3
|
6
|
6
|
|
43
|
51
|
(4)52
|
|
83
|
97
|
97-98
|
|
123
|
142
|
143-144
|
4
|
7
|
7
|
|
44
|
52
|
53
|
|
84
|
98
|
98-99
|
|
124
|
143
|
144-145
|
5
|
8
|
8
|
|
45
|
53
|
54
|
|
85
|
99
|
99-100
|
|
125
|
144
|
145-146
|
6
|
9
|
9
|
|
46
|
54
|
55
|
|
86
|
100
|
100-101
|
|
126
|
145
|
146-147
|
7
|
10
|
11
|
|
47
|
55
|
56
|
|
87
|
101
|
102
|
|
127
|
146
|
147-148
|
8
|
11
|
12
|
|
48
|
56
|
57
|
|
88
|
102
|
103
|
|
128
|
147
|
148-149
|
9
|
13
|
13
|
|
49
|
58
|
58
|
|
89
|
104
|
104-105
|
|
129
|
150
|
150-151
|
10
|
14
|
14
|
|
50
|
59
|
59
|
|
90
|
105
|
105-106
|
|
130
|
151
|
151-152
|
11
|
15
|
15
|
|
51
|
60
|
60
|
|
91
|
106
|
106-107
|
|
131
|
152
|
152-153
|
12
|
16
|
16
|
|
52
|
61
|
61
|
|
92
|
107
|
107-108
|
|
132
|
153
|
153-154
|
13
|
17
|
(1)18
|
|
53
|
62
|
62
|
|
93
|
108
|
108-109
|
|
133
|
154
|
154-155
|
14
|
18
|
19
|
|
54
|
63
|
63
|
|
94
|
109
|
109-110
|
|
134
|
155
|
155-156
|
15
|
19
|
20
|
|
55
|
64
|
64
|
|
95
|
110
|
111
|
|
135
|
156
|
156-158
|
16
|
20
|
21
|
|
56
|
65
|
65
|
|
96
|
111
|
112
|
|
136
|
157
|
157-159
|
17
|
22
|
22
|
|
57
|
67
|
68
|
|
97
|
113
|
114
|
|
137
|
159
|
159-161
|
18
|
23
|
23
|
|
58
|
68
|
69
|
|
98
|
114
|
115
|
|
138
|
160
|
160-162
|
19
|
24
|
24
|
|
59
|
69
|
70
|
|
99
|
115
|
116
|
|
139
|
161
|
161-163
|
20
|
25
|
25
|
|
60
|
70
|
71
|
|
100
|
116
|
117
|
|
140
|
162
|
162-164
|
21
|
26
|
26-27
|
|
61
|
71
|
72
|
|
101
|
117
|
118
|
|
141
|
163
|
163-165
|
22
|
27
|
28
|
|
62
|
72
|
73
|
|
102
|
118
|
119
|
|
142
|
164
|
164-166
|
23
|
28
|
29
|
|
63
|
73
|
74
|
|
103
|
119
|
120
|
|
143
|
165
|
165-167
|
24
|
29
|
30
|
|
64
|
74
|
75
|
|
104
|
120
|
121
|
|
144
|
166
|
166-168
|
25
|
31
|
31-32
|
|
65
|
77
|
77
|
|
105
|
122
|
123
|
|
145
|
168
|
168-169
|
26
|
32
|
32-33
|
|
66
|
78
|
78
|
|
106
|
123
|
124
|
|
146
|
169
|
169-171
|
27
|
33
|
33-34
|
|
67
|
79
|
79
|
|
107
|
124
|
125
|
|
147
|
170
|
170-172
|
28
|
34
|
34-35
|
|
68
|
80
|
80
|
|
108
|
125
|
126
|
|
148
|
171
|
171-173
|
29
|
35
|
(2)36
|
|
69
|
81
|
81-82
|
|
109
|
126
|
127
|
|
149
|
172
|
172-174
|
30
|
36
|
37
|
|
70
|
82
|
82-83
|
|
110
|
127
|
128
|
|
150
|
173
|
173-175
|
31
|
37
|
38
|
|
71
|
83
|
83-84
|
|
111
|
128
|
129
|
|
151
|
174
|
174-176
|
32
|
38
|
39
|
|
72
|
84
|
84-85
|
|
112
|
129
|
130
|
|
152
|
175
|
175-177
|
33
|
40
|
40-41
|
|
73
|
86
|
86-87
|
|
113
|
131
|
132
|
|
153
|
177
|
177-179
|
34
|
41
|
41-42
|
|
74
|
87
|
87-88
|
|
114
|
132
|
133
|
|
154
|
178
|
178-180
|
35
|
42
|
42-43
|
|
75
|
88
|
88-89
|
|
115
|
133
|
134
|
|
155
|
179
|
179-181
|
36
|
43
|
43-44
|
|
76
|
89
|
89-90
|
|
116
|
134
|
135
|
|
156
|
180
|
180-182
|
37
|
44
|
(3)45
|
|
77
|
90
|
90-91
|
|
117
|
135
|
136
|
|
157
|
181
|
181-183
|
38
|
45
|
46-47
|
|
78
|
91
|
91-92
|
|
118
|
136
|
137
|
|
158
|
182
|
182-184
|
39
|
46
|
47-48
|
|
79
|
92
|
92-93
|
|
119
|
137
|
138
|
|
159
|
183
|
183-185
|
40
|
47
|
48-49
|
|
80
|
93
|
94
|
|
120
|
138
|
139
|
|
160
|
184
|
184-186
|
(1) [17,4,13] gives [16,3,13] by shortening, but a (16,3)-arc does not exist.
(2) [35,4,29] gives [34,3,29] by shortening, but a (34,5)-arc does not exist.
(3) [44,4,37] gives [43,3,37] by shortening, but a (43,6)-arc does not exist.
(4) [51,4,43] gives [50,3,43] by shortening, but a (50,7)-arc does not exist.