A class of negacyclic BCH codes and its application to quantum codes

作者：Zhu, Shixin; Sun, Zhonghua^*; Li, Ping

来源：Designs, Codes and Cryptography, 2018, 86(10): 2139-2165.

DOI：10.1007/s10623-017-0441-6

• Negacyclic code
• BCH code
• Quantum code
• Cyclotomic coset

In this paper, we study negacyclic BCH codes over of length , where q is an odd prime power and m is a positive integer. In particular, the dimension, the minimum distance and the weight distribution of some negacyclic BCH codes over of length are determined. Two classes of negacyclic BCH codes meeting the Griesmer bound are obtained. As an application, we construct quantum codes with good parameters from this class of negacyclic BCH codes.

• 出版日期2018-10
• 单位合肥工业大学