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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

Abstract / Synopsis

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.

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Additional Metadata

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