On the differential uniformities of functions over finite fields

• 作 者: QU LongJiang LI Chao DAI QingP
• 机 构: DepartmentofMathematicsandSystemScience,ScienceandTechnologyonInformationAssuranceLaboratory
• 出 处: 中国科学：数学英文版
• 发表日期: 2013年7期
• 关键词: 差分均匀性 有限域 功能建设 函数 整数 偶数 奇数 differential uniformity functions finite field exp
• 基金项目: supported by National Natural Science Foundation of China(Grant Nos.61070215 and 61272484),,the National Basic Research Program of China(Grant No.2013CB338002),,the open research fund of Science and T

In this paper, the possible value of the differential uniformity of a function over finite fields is discussed. It is proved that, the differential uniformity of a function over Fq can be any even integer between 2 and q when q is even; and it can be any