首页|A Class of Linear Codes with Three and Five Weights
A Class of Linear Codes with Three and Five Weights
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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.
Linear codesWeight distributionsSecret sharing schemesOptimal codes
DU Xiaoni、LI Xiaodan、WAN Yunqi
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College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
NETL
NSTL
万方数据
维普
