5.4 Algebraic Geometry Codes
117
Table 5.15 Quantum codes
Codes
from
Corollary 5.4.1
q
m
a
b
[[27, 17, d ≥ 3]] 9
3
4
7
24
[[27, 15, d ≥ 4]] 9
3
4
8
23
[[27, 13, d ≥ 5]] 9
3
4
9
22
[[27, 11, d ≥ 6]] 9
3
4
10
21
[[27, 9, d ≥ 7]] 9
3
4
11
20
[[27, 7, d ≥ 8]] 9
3
4
12
19
[[27, 5, d ≥ 9]] 9
3
4
13
18
[[27, 3, d ≥ 10]] 9
3
4
14
17
[[27, 1, d ≥ 11]] 9
3
4
15
16
[[64, 48, d ≥ 3]] 16
4
5
13
61
[[64, 46, d ≥ 4]] 16
4
5
14
60
[[64, 44, d ≥ 5]] 16
4
5
15
59
[[64, 24, d ≥ 15]] 16
4
5
25
49
[[64, 4, d ≥ 25]] 16
4
5
35
39
[[64, 2, d ≥ 26]] 16
4
5
36
38
[[65, 53, d ≥ 3]] 25
5
3
9
62
[[65, 51, d ≥ 4]] 25
5
3
10
61
[[65, 49, d ≥ 5]] 25
5
3
11
60
[[65, 9, d ≥ 25]] 25
5
3
31
40
[[175, 153, d ≥ 3]] 49
7
4
19
172
[[175, 151, d ≥ 4]] 49
7
4
20
171
[[175, 149, d ≥ 5]] 49
7
4
21
170
[[175, 109, d ≥ 25]] 49
7
4
41
150
[[175, 31, d ≥ 64]] 49
7
4
80
111
[[175, 1, d ≥ 79]] 49
7
4
95
96
Table 5.16 Quantum codes
Codes from Corollary 5.4.2
q
m
a 1
a 2
b 1
b 2
[[26, 16, d ≥ 3]] 9
3
4
3
4
7
16
[[26, 14, d ≥ 4]] 9
3
4
3
5
7
15
[[26, 12, d ≥ 5]] 9
3
4
3
6
7
14
[[26, 4, d ≥ 9]] 9
3
4
3
10
7
10
[[26, 2, d ≥ 10]] 9
3
4
4
10
6
10