92
5 Quantum Code Constructions
Table 5.8 Comparisons
Our CSS codes
CSS Codes in [4]
[[n, k, d ≥ c]] q
[[n
, k
, d
]] q
[[15, 9, d ≥ 3]] 4
[[15, 7, d
≥ 3]] 4
[[15, 5, d ≥ 4]] 4
—
[[24, 18, d ≥ 3]] 5
[[24, 16, d
≥ 3]] 4
[[24, 10, d ≥ 5]] 5
—
[[48, 42, d ≥ 3]] 7
[[48, 40, d
≥ 3]] 7
[[48, 38, d ≥ 4]] 7
[[48, 36, d
≥ 4]] 7
[[48, 34, d ≥ 5]] 7
[[48, 32, d
≥ 5]] 7
[[48, 30, d ≥ 6]] 7
[[48, 28, d
≥ 6]] 7
[[48, 26, d ≥ 7]] 7
—
[[63, 57, d ≥ 3]] 8
[[63, 55, d
≥ 3]] 8
[[63, 53, d ≥ 4]] 8
[[63, 51, d
≥ 4]] 8
[[63, 49, d ≥ 5]] 8
[[63, 47, d
≥ 5]] 8
[[63, 45, d ≥ 6]] 8
[[63, 43, d
≥ 6]] 8
[[63, 41, d ≥ 7]] 8
[[63, 39, d
≥ 7]] 8
[[63, 37, d ≥ 8]] 8
—
[[80, 74, d ≥ 3]] 9
[[80, 72, d
≥ 3]] 9
[[80, 70, d ≥ 4]] 9
[[80, 68, d
≥ 4]] 9
[[80, 66, d ≥ 5]] 9
[[80, 64, d
≥ 5]] 9
[[80, 54, d ≥ 8]] 9
[[80, 52, d
≥ 8]] 9
[[80, 50, d ≥ 9]] 9
—
[[120, 114, d ≥ 3]] 11
[[120, 112, d
≥ 3]] 11
[[120, 106, d ≥ 5]] 11
[[120, 104, d
≥ 5]] 11
[[120, 98, d ≥ 7]] 11
[[120, 96, d
≥ 7]] 11
[[120, 90, d ≥ 9]] 11
[[120, 88, d
≥ 9]] 11
[[120, 82, d ≥ 11]] 11
—
[[168, 162, d ≥ 3]] 13
[[168, 160, d
≥ 3]] 13
[[168, 154, d ≥ 5]] 13
[[168, 152, d
≥ 5]] 13
[[168, 146, d ≥ 7]] 13
[[168, 144, d
≥ 7]] 13
[[168, 138, d ≥ 9]] 13
[[168, 136, d
≥ 9]] 13
[[168, 130, d ≥ 11]] 13
[[168, 128, d
≥ 11]] 13
[[168, 122, d ≥ 13]] 13
—