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Provable secure lightweight hyper elliptic curve‐based communication system for wireless sensor networks
Author(s) -
Naresh Vankamamidi S.,
Sivaranjani Reddi,
V.E.S. Murthy Nistala
Publication year - 2018
Publication title -
international journal of communication systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 49
eISSN - 1099-1131
pISSN - 1074-5351
DOI - 10.1002/dac.3763
Subject(s) - computer science , elliptic curve cryptography , discrete logarithm , cryptosystem , encryption , jacobian matrix and determinant , elliptic curve , theoretical computer science , algorithm , public key cryptography , mathematics , computer network , pure mathematics
Summary It is widely believed that hyper elliptic curve cryptosystems (HECCs) are not attractive for wireless sensor network because of their complexity compared with systems based on lower genera, especially elliptic curves. Our contribution shows that for low cost security applications HECs cryptosystems can outperform elliptic curve cryptosystems. The aim of this paper is to propose a discrete logarithm problem‐based lightweight secure communication system using HEC. We propose this for different genus curves over varied prime fields performing a full scale study of their adaptability to various types of constrained networks. Also, we propose to evaluate the performance of the protocol for computational times with respect to different genus for main operations like Jacobian, Divisor identifications, key generation, signature generation/verification, message encryption, and decryption by changing the size of the field. A formal security model was established based on the hardness of HEC‐Decision Diffie‐Hellman (HEC‐DDH). Finally, a comparative analysis with ECC‐based cryptosystems was made, and satisfactory results were obtained.