Multiple symmetric keys using Banach fixed point theorem

S. S. Dhenakaran, E. R. Naganathan, Chinnadurai Ganesa Moorthy · Journal of Discrete Mathematical Sciences and Cryptography · 2008

Cryptosystem is one of the mathematical principles that converts readable information into unintelligent sequence to preserve confidential on the information. Cryptosystem helps to write secret code for the message to be communicated. The basic requisite of the cryptosystem is the generation of symmetric or asymmetric keys using complicated mathematical logics. The keys are operated on the vital information to create the secret code and exchange information. The proposed work uses the multiple symmetric keys and the keys are derived from the principle of Banach fixed point theorem and modified Newton-Rapshon method. The mathematical equations necessary for finding the multiple symmetric keys are obtained from the characteristics of digital signature and personal information. The solution of the set of equations is adopted as multiple symmetric keys. The multiple symmetric keys are further applied to cryptosystem to study the characteristics of cryptomodels.

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