Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/100747
Title: | Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes | Authors: | Ezerman, Martianus Frederic Jitman, Somphong Solé, Patrick |
Keywords: | Asymmetric Quantum Codes CSS Codes DRNTU::Science::Mathematics |
Issue Date: | 2013 | Source: | Ezerman, M. F., Jitman, S., & Solé, P. (2015). Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes. Designs, Codes and Cryptography, 75(1), 21-42. doi:10.1007/s10623-013-9885-5 | Series/Report no.: | Designs, Codes and Cryptography | Abstract: | A class of powerful q-ary linear polynomial codes originally proposed by Xing and Ling is deployed to construct good asymmetric quantum codes via the standard CSS construction. Our quantum codes are q-ary block codes that encode k qudits of quantum information into n qudits and correct up to (dx − 1)/2 bit-flip errors and up to (dz − 1)/2 phase-flip errors. In many cases where the length (q2 − q)/2 ≤ n ≤ (q2 + q)/2 and the field size q are fixed and for chosen values of dx ∈ {2, 3, 4, 5} and dz ≥ δ, where δ is the designed distance of the Xing–Ling (XL) codes, the derived pure q-ary asymmetric quantum CSS codes possess the best possible size given the current state of the art knowledge on the best classical linear block codes. | URI: | https://hdl.handle.net/10356/100747 http://hdl.handle.net/10220/48579 |
ISSN: | 0925-1022 | DOI: | 10.1007/s10623-013-9885-5 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2013 Springer Science+Business Media New York. All rights reserved. This paper was published in Designs, Codes and Cryptography and is made available with permission of Springer Science+Business Media New York. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
Appears in Collections: | SPMS Journal Articles |
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Xing ling codes duals of their subcodes and good asymmetric quantum codes.pdf | 185.3 kB | Adobe PDF | View/Open |
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