References
1. Albuquerque, C.D., Palazzo Jr., R, Silva, E.B.: Topological quantum codes on compact surfaces with genus g ≥ 2. J. Math. Phys. 50, 023513-1–023513-20 (2009)
2. Albuquerque, C.D., Palazzo Jr., R, Silva, E.B.: Families of classes of topological quantum
codes from tessellations {4i + 2, 2i + 1}, {4i, 4i}, {8i − 4, 4} and {12 − 3, 6}. Quantum Inf.
Comput. 14, 1424–1440 (2014)
3. Aly, S.A.: Asymmetric quantum BCH codes. In: Proceedings of the IEEE International Conference on Computer Engineering and Systems (ICCES’08), New Jersey, USA, 25–27 Nov
2008
4. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: On quantum and classical BCH codes. IEEE
Trans. Inf. Theory 53, 1183–1188 (2007)
5. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: Quantum convolutional codes derived from
Reed-Solomon and Reed-Muller codes. https://arxiv.org/abs/quant-ph/0701037v2 (2007).
Accessed 09 Oct 2007
6. Aly, S.A., Grassl, M., Klappenecker, A., Rötteler, M., Sarvepalli, P.K.: Quantum convolutional
BCH codes. In: 10th Canadian Workshop on Information Theory (CWIT), Edmonton, AB,
Canada, 6–8 June 2007
7. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: Quantum convolutional codes derived from
generalized Reed-Solomon codes. In: IEEE International Symposium on Information Theory
(ISIT), Nice, France, 24–29 June 2007
8. Armstrong, M.A.: Basic Topology. Springer (1983)
9. Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection I: statement of the
problem. IEEE Trans. Inf. Theory 46, 778–788 (2000)
10. Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection II: bounds. IEEE
Trans. Inf. Theory 46, 789–800 (2000)
11. Ashikhmin, A., Knill, E.: Non-binary quantum stabilizer codes. IEEE Trans. Inf. Theory 47,
3065–3072 (2001)
12. Ashikhmin, A., Litsyn, S., Tsfasman, M.A.: Asymptotically good quantum codes. Phys. Rev.
A 63, 1–5 (2001)
13. Atiyah, M.F., MacDonald, I.G.: Introduction to Commutative Algebra. Addison-Wesley Publishing Company Inc., Massachusetts (1969)
14. Aydin, N., Siap, I., Ray-Chaudhuri, D.K.: The structure of 1-generator quasi-twisted codes
and new linear codes. Des. Codes Crypt. 24, 313–326 (2001)
15. Bakshi, G.K., Raka, M.: Minimal cyclic codes of length p n q. Finite Fields Appl. 9, 432–448
(2003)
© Springer Nature Switzerland AG 2020
G. G. La Guardia, Quantum Error Correction, Quantum Science and Technology,
https://doi.org/10.1007/978-3-030-48551-1
217
1. Albuquerque, C.D., Palazzo Jr., R, Silva, E.B.: Topological quantum codes on compact surfaces with genus g ≥ 2. J. Math. Phys. 50, 023513-1–023513-20 (2009)
2. Albuquerque, C.D., Palazzo Jr., R, Silva, E.B.: Families of classes of topological quantum
codes from tessellations {4i + 2, 2i + 1}, {4i, 4i}, {8i − 4, 4} and {12 − 3, 6}. Quantum Inf.
Comput. 14, 1424–1440 (2014)
3. Aly, S.A.: Asymmetric quantum BCH codes. In: Proceedings of the IEEE International Conference on Computer Engineering and Systems (ICCES’08), New Jersey, USA, 25–27 Nov
2008
4. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: On quantum and classical BCH codes. IEEE
Trans. Inf. Theory 53, 1183–1188 (2007)
5. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: Quantum convolutional codes derived from
Reed-Solomon and Reed-Muller codes. https://arxiv.org/abs/quant-ph/0701037v2 (2007).
Accessed 09 Oct 2007
6. Aly, S.A., Grassl, M., Klappenecker, A., Rötteler, M., Sarvepalli, P.K.: Quantum convolutional
BCH codes. In: 10th Canadian Workshop on Information Theory (CWIT), Edmonton, AB,
Canada, 6–8 June 2007
7. Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: Quantum convolutional codes derived from
generalized Reed-Solomon codes. In: IEEE International Symposium on Information Theory
(ISIT), Nice, France, 24–29 June 2007
8. Armstrong, M.A.: Basic Topology. Springer (1983)
9. Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection I: statement of the
problem. IEEE Trans. Inf. Theory 46, 778–788 (2000)
10. Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection II: bounds. IEEE
Trans. Inf. Theory 46, 789–800 (2000)
11. Ashikhmin, A., Knill, E.: Non-binary quantum stabilizer codes. IEEE Trans. Inf. Theory 47,
3065–3072 (2001)
12. Ashikhmin, A., Litsyn, S., Tsfasman, M.A.: Asymptotically good quantum codes. Phys. Rev.
A 63, 1–5 (2001)
13. Atiyah, M.F., MacDonald, I.G.: Introduction to Commutative Algebra. Addison-Wesley Publishing Company Inc., Massachusetts (1969)
14. Aydin, N., Siap, I., Ray-Chaudhuri, D.K.: The structure of 1-generator quasi-twisted codes
and new linear codes. Des. Codes Crypt. 24, 313–326 (2001)
15. Bakshi, G.K., Raka, M.: Minimal cyclic codes of length p n q. Finite Fields Appl. 9, 432–448
(2003)
© Springer Nature Switzerland AG 2020
G. G. La Guardia, Quantum Error Correction, Quantum Science and Technology,
https://doi.org/10.1007/978-3-030-48551-1
217