New existence and nonexistence results for strong external difference families

作者：Bao, Jingjun; Ji, Lijun^*; Wei, Reizhong; Zhang, Yong

来源：Discrete Mathematics, 2018, 341(6): 1798-1805.

DOI：10.1016/j.disc.2017.10.032

• Strong external difference family
• Algebraic manipulation detection code
• Character theory
• Cyclotomic number

In this paper, we use character-theoretic techniques to give new nonexistence results for (n, m, k, lambda)-strong external difference families (SEDFs). We also use cyclotomic classes to give two new classes of SEDFs with m = 2.

• 出版日期2018-6
• 单位盐城师范学院; 宁波大学; 苏州大学