New Binary Quantum Codes Derived from One-Generator Quasi-Cyclic Codes

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Abstract

In this paper, we consider a family of one-generator quasi-cyclic (QC) codes and their applications in quantum codes construction. We give a sufficient condition for one-generator QC codes to be self-orthogonal with respect to the symplectic inner product. As the computational results, five new binary quantum codes with parameters [[45,29,5]], [[63,36,7]], [[73,55,5]], [[105,71,7]], and [[105,72,7]] improving the best-known lower bounds on minimum distance in Grassl's code tables are constructed.

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APA

Lv, J., Li, R., & Wang, J. (2019). New Binary Quantum Codes Derived from One-Generator Quasi-Cyclic Codes. IEEE Access, 7, 85782–85785. https://doi.org/10.1109/ACCESS.2019.2923800

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