Development of a New Chaotic Maps Cryptosystem with Quadratic Residue Problem

Authors

  • Nedal Mohammad Tahat The Hashemite UniversityZarqa 13133, Jordan
  • Rania Shaqbou'a
  • Maysam Abu-Dalu
  • Alaa Qadomi

DOI:

https://doi.org/10.3991/ijoe.v18i11.29563

Keywords:

Public key cryptography, quadratic residue, Chaotic maps, cryptosystem.

Abstract


A new fast public key cryptosystem is proposed, which is based on two dissimilar number-theoretic hard problems, namely the simultaneous chaotic maps (CM) problem and quadratic residue (QR) problem. The adversary has to solve the two hard problems simultaneously to recover the plaintext according to their knowledge about the public keys and the cipher-text. Cryptographic quadratic residue and chaotic system are employed to enhance the security of our cryptosystem scheme. The encryption, and decryption are discussed in details. Several security attacks are proposed to illustrate the system shield through chaotic maps and quadratic residue problems. The performance analysis of the proposed scheme show a much improved performance over existing techniques.

Author Biography

Nedal Mohammad Tahat, The Hashemite UniversityZarqa 13133, Jordan

Nedal Tahat received his BSc in Mathematics at Yarmouk University, Jordan in 1994, and MSc in Pure Mathematics at Al al-Bayt University, Jordan, in 1998. He is a PhD candidate in Applied Number Theory (Cryptography) from National University of Malaysia (UKM) in 2010. He is an Associate Professor at Department Mathematics, Hashemite University. His main research interests are cryptology and number theory. He has published more than 35 papers, authored/coauthored, and more than 15 refereed journal and conference papers

Covr iJOE Vol. 18 No. 11 (2022)

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Published

2022-08-31

How to Cite

Tahat, N. M., Shaqbou’a , R. ., Abu-Dalu , M. ., & Qadomi , A. . (2022). Development of a New Chaotic Maps Cryptosystem with Quadratic Residue Problem. International Journal of Online and Biomedical Engineering (iJOE), 18(11), pp. 31–41. https://doi.org/10.3991/ijoe.v18i11.29563

Issue

Vol. 18 No. 11 (2022)

Section

Papers

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Copyright (c) 2022 Nedal mohammad Tahat, Rania Shaqboua , Maysam Abu-Dalu , Alaa Qadomi

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