| On the orders of transformation matrices (mod n) and two types of generalized Arnold transformation matrices |
| |
| 作者姓名： | YANG Lizhen & CHEN Kefei |
| |
| 作者单位： | YANG Lizhen & CHEN Kefei Department of Computer Science and Engineering，Shanghai Jiaotong University，Shanghai 200030，China |
| |
| 基金项目： | NFSE，国家高技术研究发展计划(863计划) |
| |
| 摘 要： | With the rapid development of information technology, more and more private and public information is distributed through the Internet. The problem of how to distribute information securely through the Internet has arisen. Recently, a lot of technologies have been developed to ensure the security of information. Information hiding1] is one of these, ranging from digital watermarking, digital fingerprint to steganography. The scrambling transformation is one of the technologies of image infor…
|
On the orders of transformation matrices (mod n) and two types of generalized Arnold transformation matrices |
| |
| YANG Lizhen & CHEN Kefei.On the orders of transformation matrices (mod n) and two types of generalized Arnold transformation matrices[J].Science in China(Information Sciences),2004,47(5). |
| |
| Authors: | Yang Lizhen CHEN Kefei |
| |
| Affiliation: | Department of Computer Science and Engineering, Shanghai Jiaotong University, Shanghai 200030,China |
| |
| Abstract: | In this paper, we analyze the structure of the orders of matrices (mod n), and present the relation between the orders of matrices over finite fields and their Jordan normal forms. Then we generalize 2-dimensional Arnold transformation matrix to two types of n-dimensional Arnold transformation matrices: A-type Arnold transformation matrix and B-type transformation matrix, and analyze their orders and other properties based on our earlier results about the orders of matrices. |
| |
| Keywords: | scrambling Jordan normal form information hiding |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
