A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

4-2002

Abstract

It is proved that a class of q-ary (2n,n) formally self-dual codes obtained from symmetric matrices over GF (q), contains codes that meet the Varshamov-Gilbert bound. The codes are self-dual with respect to the symplectic inner product and yield quantum codes encoding one state with n q-ary qubits and having minimum distance proportional to n.

Publisher's Statement

©2002 IEEE. Publisher’s version of record: https://dx.doi.org/10.1109/18.992809

Publication Title

IEEE Transactions on Information Theory

Recommended Citation

Tonchev, V. (2002). A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes. IEEE Transactions on Information Theory, 48(4), 975-977. http://doi.org/10.1109/18.992809
Retrieved from: https://digitalcommons.mtu.edu/math-fp/128