108
5 Quantum Code Constructions
Table 5.14 Code comparison
Our codes - construction III
Codes derived from [62]
[[n, k, d]] q
[[n
, k
, d
]] q
m = 3, q = 4
[[63, 58, d ≥ 3]] 4
[[63, 54, d
≥ 4]] 4
[[63, 52, d ≥ 4]] 4
[[63, 48, d
≥ 4]] 4
[[63, 41, d ≥ 7]] 4
[[63, 39, d
≥ 7]] 4
[[63, 28, d ≥ 10]] 4
[[63, 24, d
≥ 10]] 4
m = 3, q = 5
[[124, 119, d ≥ 3]] 5
[[124, 115, d
≥ 3]] 5
[[124, 113, d ≥ 4]] 5
[[124, 109, d
≥ 4]] 5
[[124, 107, d ≥ 5]] 5
[[124, 103, d
≥ 5]] 5
[[124, 96, d ≥ 8]] 5
[[124, 94, d
≥ 8]] 5
[[124, 92, d ≥ 9]] 5
[[124, 88, d
≥ 9]] 5
[[124, 86, d ≥ 10]] 5
[[124, 82, d
≥ 10]] 5
[[124, 77, d ≥ 12]] 5
[[124, 73, d
≥ 12]] 5
m = 3, q = 7
[[342, 337, d ≥ 3]] 7
[[342, 333, d
≥ 3]] 7
[[342, 331, d ≥ 4]] 7
[[342, 327, d
≥ 4]] 7
[[342, 325, d ≥ 5]] 7
[[342, 321, d
≥ 5]] 7
[[342, 319, d ≥ 6]] 7
[[342, 315, d
≥ 6]] 7
[[342, 313, d ≥ 7]] 7
[[342, 309, d
≥ 7]] 7
[[342, 302, d ≥ 10]] 7
[[342, 300, d
≥ 10]] 7
[[342, 298, d ≥ 11]] 7
[[342, 294, d
≥ 11]] 7
[[342, 292, d ≥ 12]] 7
[[342, 288, d
≥ 12]] 7
[[342, 286, d ≥ 13]] 7
[[342, 282, d
≥ 13]] 7
[[342, 271, d ≥ 16]] 7
[[342, 267, d
≥ 16]] 7
m = 4, q = 4
[[255, 249, d ≥ 3]] 4
[[255, 243, d
≥ 3]] 4
[[255, 241, d ≥ 4]] 4
[[255, 235, d
≥ 4]] 4
[[255, 226, d ≥ 7]] 4
[[255, 223, d
≥ 7]] 4
[[255, 209, d ≥ 10]] 4
[[255, 203, d
≥ 10]] 4
m = 4, q = 5
[[624, 618, d ≥ 3]] 5
[[624, 612, d
≥ 3]] 5
[[624, 610, d ≥ 4]] 5
[[624, 604, d
≥ 4]] 5
[[624, 602, d ≥ 5]] 5
[[624, 596, d
≥ 5]] 5
[[624, 587, d ≥ 8]] 5
[[624, 584, d
≥ 8]] 5
[[624, 582, d ≥ 9]] 5
[[624, 576, d
≥ 9]] 5
[[624, 574, d ≥ 10]] 5
[[624, 568, d
≥ 10]] 5
[[624, 562, d ≥ 12]] 5
[[624, 556, d
≥ 12]] 5