DU Xiaoni, LI Xiaodan, WAN Yunqi. A Class of Linear Codes with Three and Five Weights[J]. Chinese Journal of Electronics, 2019, 28(3): 457-461. doi: 10.1049/cje.2019.03.009
Citation: DU Xiaoni, LI Xiaodan, WAN Yunqi. A Class of Linear Codes with Three and Five Weights[J]. Chinese Journal of Electronics, 2019, 28(3): 457-461. doi: 10.1049/cje.2019.03.009

A Class of Linear Codes with Three and Five Weights

doi: 10.1049/cje.2019.03.009
Funds:  This work is supported by the National Natural Science Foundation of China (No.61462077, No.61772022).
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  • Corresponding author: LI Xiaodan (corresponding author) was born in 1992. She is currently a graduate student at Northwest Normal University. Her research interests include coding theory and information security.(Email:dan282533573@163.com.)
  • Received Date: 2016-11-18
  • Publish Date: 2019-05-10
  • Linear codes have been an interesting topic in both theory and practice for many years. Based on the theory of defining set, a class of three-weight and five-weight linear codes over prime field Fp are constructed, which is an extension of Wang et al.'s construction. Our construction include some optimal codes and almost optimal codes with respect to the Singleton bounds. We employ exponential sums to investigate the weight distributions of these linear codes. The results show that these codes can be used to construct secret sharing schemes.
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