A class of binary cyclic codes with generalized Niho exponents

作者：Chen, Yuan; Li, Nian; Zeng, Xiangyong^*

来源：Finite Fields and Their Applications, 2017, 43: 123-140.

DOI：10.1016/j.ffa.2016.09.005

• Niho exponent
• Cyclic code
• Weight distribution
• Exponential sum

In this paper, a class of binary cyclic codes with three generalized Niho-type nonzeros is introduced. Based on some techniques in solving certain equations over finite fields, the proposed cyclic codes are shown to have six nonzero weights and the weight distribution is also completely determined.

• 出版日期2017-1
• 单位中国科学院信息工程研究所; 湖北大学