HH-MRSA : Designing an improvement of MRSA with high security
*Mohammed Hassan HamzaCorresponding authoredu-math.post16@qu.edu.iqAffiliation 1Department of MathematicsGeneral Directorate of Al-Muthanna EducationAl-Muthanna, 66001, IraqAffiliation 2Department of Computer Technical EngineeringCollege of Information TechnologyImam Ja’afar Al-Sadiq UniversityAl-Muthanna, 66001, Iraq0009-0006-3916-6456View full profile → , Hadeel Hadi Abo-Alsoodhadeel.hadi@mu.edu.iqDepartment of MathematicsCollage of Education for Pure SciencesAl-Muthanna UniversityAl-Muthanna, 66001, Iraq0009-0006-0069-2248View full profile → , Sahab Mohsen Abboudbsc.sahab.jwer@uobabylon.edu.iqDepartment of MathematicsCollege of Basic EducationUniversity of BabylonBabylon, 11702, IraqView full profile → , Hassan Rashed Yasseinhassan.yaseen@qu.edu.iqDepartment of MathematicsCollage of EducationUniversity of Al-QadisiyahAl-Qadisiyah, 54004, Iraq0000-0002-6788-0247View full profile → , Zahraa Salih Shareefzahraasalih1997@gmail.comDepartment of Computer Technical EngineeringCollege of Information TechnologyImam Ja’afar Al-Sadiq UniversityAl-Muthanna, 66001, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Nov 2024
- Published Online:
- 11 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2255
- Pages:
- 557–564
Abstract
Keywords
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References
[1] R. Rivest, A. Shamir and L. Adleman, “A method for obtaining digital signatures and public-key cryptosystems,” Communications of the ACM, vol. 21, no. 2, pp. 120-126 (1978), [Online]. Available: https://doi.org/10.1145/359340.359342.
[2] J. Hoffstein, J. Pipher, and J.H. Silverman, “NTRU: A ring-based public key cryptosystem,” Lecture Notes in Computer Science, vol. 1423, pp. 267-288 (1998), [Online]. Available: https://doi.org/10.1007/bfb0054868.
[3] B.P.U. lvy, P. Mandiwa and M. Kumar, A modified RSA cryptosystem based on “n “ prime numbers, Int. J. Comput. Sci. Eng, vol. 06, no. 03, pp. 78-90 (2018), [Online]. Available: https://doi.org/10.4236/jcc.2018.63006.
[4] I. B. Gafitoiu, Polynomial based RSA, B. Sc, Linnaeus University, Sweden, (2015).
[5] E. Malecian, A. Zakerolhosseini, OTRU: A non-associative and high-speed public key cryptosystem, Proceeding of the 15th CSI international symposium on computer architecture and digital systems, 83-90 (2010).
[6] H.R. Yassein and N. M. Al- Saidi, HXDTRU Cryptosystem Based on Hexadecnion Algebra, Cryptology Conference (2016).
[7] N.M. Al-Saidi and H.R. Yassein, BITRU: Binary Version of the NTRU Public Key Cryptosystem via binary algebra, Int. J. Adv. Comput. Sci. Appl., vol. 7, no. 11 (2016), [Online]. Available: https://doi.org/10.14569/ijacsa.2016.071101.
[8] N.M. Al-Saidi and H.R. Yassein, A new alternative to NTRU cryptosystem based on highly dimensional algebra with dense lattice structure, Malays. J. Math. Sci., vol. 11, pp. 29-43 (2017).
[9] H.R. Yassein and N.M.G. Al-Saidi, BCTRU: A New Secure NTRUCrypt Public Key System Based on a Newly multidimensional Algebra, Proceeding of the 6th International Cryptology and Information Security Conference, Malaysia, 1-11 (2018).
[10] H.H. Abo-Alsood and H.R. Yassein, QOTRU: A new design of NTRU public key encryption via Qu- Octonion subalgebra, J. Phys. Conf. Ser., vol. 1999, no. 1, pp. 012097-012097, [Online]. Available: https://doi.org/10.1088/1742-6596/1999/1/012097.
[11] S.H. Shihadi and H.R. Yassein. A new Design of NTRU Encrypt- analogue Cryptosystem with high security and Performance level via Trip ternion algebra, Int. J. Math. Comput. Sci., vol. 16, no. 4, pp. 1515-1522 (2021), [Online]. Available: https://future-in-tech.net/16.4/r-HassanYasein.pdf
[12] H.R. Yassein, A.A. Abidalzahra and N. M. Al-Saidi, A new design of NTRU encryption with security and performance level, AIP Conference Proceedings, vol. 2334, no. 1, 08005-08009 (2021), https://doi.org/10.1063/5.0042312.
[13] M.H. Al-Awadi, Designing an Efficient and Scure Cryptosystems Similar to MaTRU and RSA, M. SC. Thesis, University of Al-Qadisiya, Iraq, (2022).
[14] S.H. Shihadi and H.R. Yassein, “An innovative tripternion algebra for designing NTRU-like cryptosystem with high security”, AIP Conference Proceedings, vol. 2386, pp. 60009-1-60009-6 (2022). https://doi.org/10.1063/5.0067023
[15] H.H. Abo-alsood and H.R. Yassein, “Analogue to NTRU public key cryptosystem by multi-dimension algebra with high security’’, AIP Conference Proceedings, vol. 2386, pp. 600091-600096 (2022), [Online]. Available: https://doi.org/10.1063/5.0067033.
[16] F.R. Atea and H.R. Yassein, PMRSA: Designing an Efficient and Secure Public-Key Similar to RSA Based on Polynomial Ring, Appl. Math. Info. Sci., vol. 17, no. 3, pp. 535-538, May (2023), [Online]. Available: https://doi.org/10.18576/amis/170321.
[17] H.R. Yassein, H.N. Zaky, H.H. Abo-Alsood, I. A. Mageed and W. I. El Sobky, QuiTRU: Design Secure Variant of Ntruencrypt Via a New Multi-Dimensional Algebra, Appl. Math. Info. Sci., vol. 17, no. 1, pp. 49-53, Jan. (2023), [Online]. Available: https://doi.org/10.18576/amis/170107.
[18] S. M. Abboud and H.R. Yassein, Improvement Multi-Dimensional Public key OTRU Cryptosystem, Int. J. Math. Comput. Sci., vol. 19, no. 4, pp. 1071-1076 (2024),
[19] H.H. Abo-Alsood, M.H. Hamza, S. A. Al-Bairmani and H.R. Yassein, HH-RSA: Development of Public key Cryptosystem RSA via multidimensional algebra, Int. J. Math. Comput. Sci., vol. 19, no. 4, pp. 1177-1182 (2024). [Online]. Available: https://future-in-tech.net/19.4/R-Abo-Alsood-Hamz-Al-Bairmani-Yassein.pdf.
[20] B.N. Abaas and H.R. Yassein, Design of an Alternative to Polynomial Modified RSA Algorithm, Int. J. Math. Comput. Sci., vol. 19, no. 3, pp. 693-696, Feb. (2024),
[21] S.M. Abboud, R.K. Ajeena and H.R. Yassein, Octonion Polynomials for a More Secure RSA Public Key Cryptosystem. Int. J. Math. Comput. Sci., vol. 20, no.1, pp. 281-284 (2025), [Online]. Available: https://doi.org/10.69793/ijmcs/01.2025/yassein.
[22] F. Afzal, S. Rukh, D. Afzal, M.R. Farahani, M. Cancan and S. Ediz, “A study of non-commutative Von-Neumann regular rings,” J. Inf. Optim. Sci., vol. 42, no. 7, pp. 1425-1436 (2021). [Online] Available: https://doi.org/10.1080/02522667.2021.1896650.
[23] M. Nadeem, S. Ahmad, M.K. Siddiqui, M.A. Ali, M.R. Farahani and A.J.M. Khalaf, “On some applications related with algebraic structures through different well known graphs,” J. Discrete Math. Sci. Cryptography, vol. 24, no. 2, pp. 451-471 (2021). [Online] Available: https://doi.org/10.1080/0972052.
[24] S. Ediz, M. Cancan and M.R. Farahani, “Eccentric connectivity and connective eccentricity indices of generalized Petersen graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2021, no. 1, pp. 1-6 (2021).
[25] R. Ponraj, S. Prabhu and M. Sivakumar, “Pair mean cordial label-ing of total graph of some graphs and prism-related graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 181-192 (2024).
[26] F.O. Oduol and I.O. Okoth, “Counting vertices among all noncross¬ing trees by levels and degrees,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 193-212 (2024).
