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Euler Phi Function and Gamma Function Based Elliptic Curve Encryption for Secured Group Communication

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Abstract

In this paper, we propose a new clustering, encryption and trust modeling based energy aware routing secured algorithm for performing secured data communication in Wireless Sensor Networks For this purpose, an Elliptic Curve Cryptography based encryption scheme is proposed in this work where the key generation scheme of Elliptic curve cryptography and the strength of the keys used in it for encryption are enhanced by pre-concatenation and post-concatenation of values obtained from the Euler’s phi function value and Gamma function values based on the user identifier values for ‘n’ different users. This proposed technique performs secured routing by encrypting the messages before they are routed to the destination through the network. In this scheme, only one pairing computation with a loop is necessary to encrypt a single message which is to be communicated to ‘n’ different receivers by forming ‘n’ different cipher texts using the proposed elliptic curve group theory based encryption algorithm. The proposed secured routing algorithm has been modeled in this work by performing the encryption of the plain text message before it is sent in the network. Moreover, this proposed system uses a trust model to check for any attempt by intermediate nodes for decrypting the encrypted messages during routing in order to enhance the security of communication. The proposed encryption scheme reduces the computation cost by computing the keys for all the receivers in one attempt. Performance analysis of this proposed scheme shows that computation time is for key formation, encryption and decryption are less in the proposed scheme when it is compared with the existing ECC based schemes for encryption and decryption. In addition, the secured routing algorithm proposed in this paper that uses the proposed encryption technique and trust modeling for enhancing the security of communication increases the packet delivery ratio, security and the overall network performance and it also decreases the delay and energy consumption by avoiding the security attacks efficiently.

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Authors and Affiliations

  1. Department of Information Science and Technology, CEG Campus, Anna University, Chennai, India

    S. Viswanathan

  2. Ramanujan Computing Centre, CEG Campus, Anna University, Chennai, India

    R. S. Bhuvaneswaran

  3. Centre for Cyber-Physical Systems & SCOPE, Vellore Institute of Technology, Chennai, India

    Sannasi Ganapathy

  4. School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, India

    A. Kannan

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  1. S. Viswanathan
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  2. R. S. Bhuvaneswaran
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  3. Sannasi Ganapathy
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  4. A. Kannan
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Correspondence to A. Kannan.

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Viswanathan, S., Bhuvaneswaran, R.S., Ganapathy, S. et al. Euler Phi Function and Gamma Function Based Elliptic Curve Encryption for Secured Group Communication. Wireless Pers Commun 125, 421–451 (2022). https://doi.org/10.1007/s11277-022-09557-6

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