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Design of Rabin-like cryptosystem without decryption failure

Asbullah, Muhammad Asyraf and Kamel Ariffin, Muhammad Rezal (2016) Design of Rabin-like cryptosystem without decryption failure. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 1-18. ISSN 1823-8343; ESSN: 2289-750X

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Official URL: http://einspem.upm.edu.my/journal/fullpaper/vol10s...

Abstract

In this work, we design a new, efficient and practical Rabin-like cryptosystem without using the Jacobi symbol, redundancy in the message and avoiding the demands of extra information for finding the correct plaintext. Decryption outputs a unique plaintext without any decryption failure. In addition, decryption only requires a single prime. Furthermore, the decryption procedure only computes a single modular exponentiation instead of two modular exponentiation executed by other Rabin variants. As a result, this reduces the computational effort during the decryption process. Moreover the Novak’s side channel attack is impractical over the proposed Rabin-like cryptosystem. In parallel, we prove that the Rabin-p cryptosystem is indeed as intractable as the integer factorization problem.

Item Type:Article
Notes:Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7)
Keyword:Rabin cryptosystem; Modulus N = p2q; Unique decryption; Equivalent to factorization; Chinese remainder theorem
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Institute for Mathematical Research, Universiti Putra Malaysia
ID Code:52355
Deposited By: Nabilah Mustapa
Deposited On:05 Jun 2017 17:34
Last Modified:05 Jun 2017 17:34

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