Generalized hyper-bent functions over GF(p)
- 作者：A.M. Youssef
- 关键词：Cryptography ; Hyper-bent functions ; Quadratic forms ; Finite fields
- 刊名：Discrete Applied Mathematics
- 出版年：2007
- 期刊代码：46_0166218x
- 类别：cp
- 出版时间：15 April 2007
- 卷：155
- 期：8
- 页码：1066-1070
- 文件大小：132 K
摘要
In this paper, we extend the concept of binary hyper-bent functions introduced by Carlet to functions defined over GF(p). We show that such functions must be quadratic. We also provide the necessary and sufficient conditions on the symmetric coefficient matrix corresponding to the quadratic form of that guarantee that f is a hyper-bent function.