A Class of Linear Codes with Three and Five Weights
A Class of Linear Codes with Three and Five Weights作者机构：College of Mathematics and Statistics Northwest Normal University
出 版 物：《Chinese Journal of Electronics》 (电子学报(英文))
年 卷 期：2019年第28卷第3期
页 面：457-461页
核心收录：
学科分类：11[军事学] 1105[军事学-军队指挥学] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 110505[军事学-密码学] 0701[理学-数学]
基 金：supported by the National Natural Science Foundation of China(No.61462077 No.61772022)
主 题：Linear codes Weight distributions Secret sharing schemes Optimal codes
摘 要：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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