Study of chaos functions for their suitability in generating Message Authentication Codes

Study of chaos functions for their suitability in generating Message Authentication Codes
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DOI:
10.1016/j.asoc.2006.05.005
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发表时间:
2007-06
期刊:
Appl. Soft Comput.
影响因子:
--
通讯作者:
G. Arumugam;V. Praba;S. Radhakrishnan
G. Arumugam;V. Praba;S. Radhakrishnan
中科院分区:
其他
文献类型:
--
作者:
G. Arumugam;V. Praba;S. Radhakrishnan

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混沌函数主要用于建立非线性系统的数学模型。由于它们对初始条件极其敏感的性质以及它们对日常生活中的问题的巨大适用性,它们吸引了许多数学家的注意。本文以两个应用广泛的混沌函数--Logistic方程和Lorenz方程为例进行了分析。我们发现,这些方程具有满足消息认证码(MAC)预期性质的特征。我们还提供了一种新的生成MAC的方法,该方法具有更高的安全性,但密钥长度更小。这是通过使用可变初始化向量(IV)而不是恒定IV来设计算法来实现的。变量IV增加了消息的安全性。实验结果表明,该算法满足报文认证码生成算法的预期特性。
Chaos functions are mainly used to develop mathematical models of non-linear systems. They have attracted the attention of many mathematicians owing to their extremely sensitive nature to initial conditions and their immense applicability to problems in daily life. In this paper, two widely used chaos functions the Logistic equation and the Lorenz equation are taken and analyzed. We found that these equations exhibit characteristics, which satisfy the expected properties of Message Authentication Code (MAC). We also provide a novel approach of generating MAC with higher security but with smaller key size. This is achieved by the design of the algorithm using variable Initialization Vectors (IV) instead of the constant IVs. Variable IV adds strength to the security of the message. The experimental results show that it satisfies the expected characteristics of a Message Authentication Code generation algorithm.