Use of chaotic dynamical systems in cryptography

被引：84

作者：

Schmitz, R ^{[1
]}

机构：

[1] Deutsch Telecom AG, Technol Zentrum, D-64307 Darmstadt, Germany

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2001年 / 338卷 / 04期

关键词：

cryptography; chaos;

D O I：

10.1016/S0016-0032(00)00087-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, some of the mathematical properties relevant to the use of chaotic dynamical systems in cryptography are identified and reviewed. We evaluate these properties for some of the systems proposed in the literature and explain the consequences for the level of security offered by these systems. As a conclusion, it is proposed to use only those systems that are accessible to a mathematical analysis of their chaotic properties, and some open research questions are identified. (C) 2001 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.

引用

页码：429 / 441

页数：13

共 31 条

[1]

[Anonymous], P AM MATH SOC

[2] ON DEVANEY DEFINITION OF CHAOS [J].

BANKS, J ;

BROOKS, J ;

CAIRNS, G ;

DAVIS, G ;

STACEY, P .

AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (04) :332-334

[3]

BIHAM E, 1991, P ADV CRYPT EUROCRYP, P532

[4] Clarifying chaos: Examples and counterexamples [J].

Brown, R ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (02) :219-249

[5] Dynamical cryptography based on synchronised chaotic systems [J].

Chu, YH ;

Chang, S .

ELECTRONICS LETTERS, 1999, 35 (12) :974-975

[6] GENERATING RANDOMNESS FROM CHAOS AND CONSTRUCTING CHAOS WITH DESIRED RANDOMNESS [J].

CHUA, LO ;

YAO, Y ;

YANG, Q .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1990, 18 (03) :215-240

[7]

COLLET P, 1980, ITERATED MAPS INTERV

[8] PSEUDO-ORBIT SHADOWING IN THE FAMILY OF TENT MAPS [J].

COVEN, EM ;

KAN, I ;

YORKE, JA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (01) :227-241

[9]

Devaney R, 1987, An introduction to chaotic dynamical systems, DOI 10.2307/3619398

[10] Symmetric ciphers based on two-dimensional chaotic maps [J].

Fridrich, J .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (06) :1259-1284

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