NONBINARY QUANTUM CODES DERIVED FROM GROUP CHARACTER CODES

Jianfa Qian, Lina Zhang · International Journal of Quantum Information · 2012

Most of quantum codes have been constructed by using classical linear codes over finite field. However, little is known about the construction of quantum codes via group character codes. In this work, we present the constructions of nonbinary quantum and asymmetric quantum codes based on group character codes, and give explicit parameters for infinite families of nonbinary quantum codes and asymmetric quantum codes. Furthermore, we present families of optimal quantum codes which derived from group character codes.

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