184
7 Constructions of QCCs
Table 7.1 Code comparison
The new codes
Codes shown in [6]
[(n, n − 4i − 2, 1; 2 j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(624, 614, 1; 4, d f ≥ 6)] 5
[(624, 612, 1; γ, d f ≥ 6)] 5
[(624, 610, 1; 6, d f ≥ 8)] 5
[(624, 608, 1; γ, d f ≥ 8)] 5
[(624, 606, 1; 8, d f ≥ 10)] 5
[(624, 604, 1; γ, d f ≥ 9)] 5
[(624, 602, 1; 10, d f ≥ 12)] 5
[(624, 596, 1; γ, d f ≥ 12)] 5
[(624, 598, 1; 12, d f ≥ 14)] 5
[(624, 592, 1; γ, d f ≥ 14)] 5
[(n, n − 2mi − 2, 1; m j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(4095, 4081, 1; 6, d f ≥ 6)] 4
[(4095, 4077, 1; γ, d f ≥ 6)] 4
[(4095, 4075, 1; 9, d f ≥ 8)] 4
[(4095, 4071, 1; γ, d f ≥ 8)] 4
[(4095, 4069, 1; 12, d f ≥ 10)] 4
[(4095, 4065, 1; γ, d f ≥ 9)] 4
[(4095, 4063, 1; 15, d f ≥ 12)] 4
[(4095, 4053, 1; γ, d f ≥ 12)] 4
[(4095, 4057, 1; 18, d f ≥ 14)] 4
[(4095, 4047, 1; γ, d f ≥ 14)] 4
[(4095, 4051, 1; 21, d f ≥ 16)] 4
[(4095, 4041, 1; γ, d f ≥ 15)] q
[(4095, 4045, 1; 24, d f ≥ 18)] 4
[(4095, 4029, 1; γ, d f ≥ 18)] 4
[(4095, 4039, 1; 27, d f ≥ 20)] 4
[(4095, 4023, 1; γ, d f ≥ 20)] 4
[(n, n − 2mi − 2, 1; m j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(64, 49, 1; 6, d f ≥ 6)] 4
[(64, 45, 1; γ, d f ≥ 6)] 4
[(124, 110, 1; 6, d f ≥ 6)] 5
[(124, 106, 1; γ, d f ≥ 6)] 5
[(124, 104, 1; 9, d f ≥ 8)] 5
[(124, 100, 1; γ, d f ≥ 8)] 5
[(342, 328, 1; 6, d f ≥ 6)] 7
[(328, 324, 1; γ, d f ≥ 6)] 7
[(342, 322, 1; 9, d f ≥ 8)] 7
[(328, 318, 1; γ, d f ≥ 8)] 7
[(342, 316, 1; 12, d f ≥ 10)] 7
[(328, 312, 1; γ, d f ≥ 9)] 7
[(342, 310, 1; 15, d f ≥ 12)] 7
[(328, 306, 1; γ, d f ≥ 12)] 7
[(728, 714, 1; 6, d f ≥ 6)] 9
[(728, 710, 1; γ, d f ≥ 6)] 9
[(728, 708, 1; 9, d f ≥ 8)] 9
[(728, 704, 1; γ, d f ≥ 8)] 9
[(728, 702, 1; 12, d f ≥ 10)] 9
[(728, 698, 1; γ, d f ≥ 9)] 9
[(728, 696, 1; 15, d f ≥ 12)] 9
[(728, 686, 1; γ, d f ≥ 12)] 9
[(728, 690, 1; 18, d f ≥ 14)] 9
[(728, 680, 1; γ, d f ≥ 14)] 9
[(728, 684, 1; 21, d f ≥ 16)] 9
[(728, 680, 1; γ, d f ≥ 15)] 9
[(2400, 2382, 1; 8, d f ≥ 6)] 7
[(2400, 2376, 1; γ, d f ≥ 6)] 7
[(2400, 2374, 1; 12, d f ≥ 8)] 7
[(2400, 2368, 1; γ, d f ≥ 8)] 7
[(2400, 2366, 1; 16, d f ≥ 10)] 7
[(2400, 2360, 1; γ, d f ≥ 9)] 7
[(2400, 2358, 1; 20, d f ≥ 12)] 7
[(2400, 2352, 1; γ, d f ≥ 12)] 7
7 Constructions of QCCs
Table 7.1 Code comparison
The new codes
Codes shown in [6]
[(n, n − 4i − 2, 1; 2 j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(624, 614, 1; 4, d f ≥ 6)] 5
[(624, 612, 1; γ, d f ≥ 6)] 5
[(624, 610, 1; 6, d f ≥ 8)] 5
[(624, 608, 1; γ, d f ≥ 8)] 5
[(624, 606, 1; 8, d f ≥ 10)] 5
[(624, 604, 1; γ, d f ≥ 9)] 5
[(624, 602, 1; 10, d f ≥ 12)] 5
[(624, 596, 1; γ, d f ≥ 12)] 5
[(624, 598, 1; 12, d f ≥ 14)] 5
[(624, 592, 1; γ, d f ≥ 14)] 5
[(n, n − 2mi − 2, 1; m j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(4095, 4081, 1; 6, d f ≥ 6)] 4
[(4095, 4077, 1; γ, d f ≥ 6)] 4
[(4095, 4075, 1; 9, d f ≥ 8)] 4
[(4095, 4071, 1; γ, d f ≥ 8)] 4
[(4095, 4069, 1; 12, d f ≥ 10)] 4
[(4095, 4065, 1; γ, d f ≥ 9)] 4
[(4095, 4063, 1; 15, d f ≥ 12)] 4
[(4095, 4053, 1; γ, d f ≥ 12)] 4
[(4095, 4057, 1; 18, d f ≥ 14)] 4
[(4095, 4047, 1; γ, d f ≥ 14)] 4
[(4095, 4051, 1; 21, d f ≥ 16)] 4
[(4095, 4041, 1; γ, d f ≥ 15)] q
[(4095, 4045, 1; 24, d f ≥ 18)] 4
[(4095, 4029, 1; γ, d f ≥ 18)] 4
[(4095, 4039, 1; 27, d f ≥ 20)] 4
[(4095, 4023, 1; γ, d f ≥ 20)] 4
[(n, n − 2mi − 2, 1; m j, d f ≥ i + j + 2)] q
[(n, k, μ; γ, d f )] q
[(64, 49, 1; 6, d f ≥ 6)] 4
[(64, 45, 1; γ, d f ≥ 6)] 4
[(124, 110, 1; 6, d f ≥ 6)] 5
[(124, 106, 1; γ, d f ≥ 6)] 5
[(124, 104, 1; 9, d f ≥ 8)] 5
[(124, 100, 1; γ, d f ≥ 8)] 5
[(342, 328, 1; 6, d f ≥ 6)] 7
[(328, 324, 1; γ, d f ≥ 6)] 7
[(342, 322, 1; 9, d f ≥ 8)] 7
[(328, 318, 1; γ, d f ≥ 8)] 7
[(342, 316, 1; 12, d f ≥ 10)] 7
[(328, 312, 1; γ, d f ≥ 9)] 7
[(342, 310, 1; 15, d f ≥ 12)] 7
[(328, 306, 1; γ, d f ≥ 12)] 7
[(728, 714, 1; 6, d f ≥ 6)] 9
[(728, 710, 1; γ, d f ≥ 6)] 9
[(728, 708, 1; 9, d f ≥ 8)] 9
[(728, 704, 1; γ, d f ≥ 8)] 9
[(728, 702, 1; 12, d f ≥ 10)] 9
[(728, 698, 1; γ, d f ≥ 9)] 9
[(728, 696, 1; 15, d f ≥ 12)] 9
[(728, 686, 1; γ, d f ≥ 12)] 9
[(728, 690, 1; 18, d f ≥ 14)] 9
[(728, 680, 1; γ, d f ≥ 14)] 9
[(728, 684, 1; 21, d f ≥ 16)] 9
[(728, 680, 1; γ, d f ≥ 15)] 9
[(2400, 2382, 1; 8, d f ≥ 6)] 7
[(2400, 2376, 1; γ, d f ≥ 6)] 7
[(2400, 2374, 1; 12, d f ≥ 8)] 7
[(2400, 2368, 1; γ, d f ≥ 8)] 7
[(2400, 2366, 1; 16, d f ≥ 10)] 7
[(2400, 2360, 1; γ, d f ≥ 9)] 7
[(2400, 2358, 1; 20, d f ≥ 12)] 7
[(2400, 2352, 1; γ, d f ≥ 12)] 7