A novel blind signature scheme based on RSA cryptosystem using Tribonacci matrix
Siva Gunupurugsiva@gitam.inDepartment of Mathematics and StatisticsGITAM (Deemed to be University)Visakhapatnam, Andhra Pradesh, 530045, India0009-0008-2941-1379View full profile → , *Umaprasada Rao BodasingiCorresponding authorpbodasin@gitam.eduDepartment of Mathematics and StatisticsGITAM (Deemed to be University)Visakhapatnam, Andhra Pradesh, 530045, India0000-0001-5811-8480View full profile → , Avanigadda Jaya Venkata RadhikaAjv.radhika09@gmail.comDepartment of MathematicsAcharya Nagarjuna UniversityGuntur, Andhra Pradesh, 522510, India0009-0004-8671-2822View full profile → , Kalyan Kumar Palaparthikalyanpalaparthi77@gmail.comDepartment of MathematicsKoneru Lakshmaiah Education Foundation (Deemed to be University)Hyderabad, Telangana, 500075, India0000-0002-6567-7640View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Jan 2025
- Published Online:
- 08 Apr 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2556
- Pages:
- 1735–1752
Abstract
Keywords
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References
[1] W. Diffie and M. Hellman, “New directions in cryptography,” IEEE Trans. Inf. Theory, vol. IT-22, pp. 472–292 (1976), doi: 10.1109/TIT.1976.1055638.
[2] T. Elgamal, “A public key cryptosystem and a signature scheme based on discrete logarithms,” IEEE Trans. Inf. Theory, vol. 31, no. 4, pp. 469–472 (1985), doi: 10.1109/TIT.1985.1057074.
[3] L. Harn and Y. Xu, “Design of generalised ElGamal type digital signature schemes based on discrete logarithm,” Electron. Lett., vol. 30, no. 24, pp. 2025–2026 (1994), doi: 10.1049/el:19941398.
[4] V. R. L. Shen, Y. F. Chung, T. S. Chen, and Y. A. Lin, “A blind signature based on discrete logarithm problem,” Int. J. Innov. Comput. Inf. Control, vol. 7, no. 9, pp. 5403–5416 (2011). [Online]. Available: http://www.ijicic.org/ijicic-10-05047.pdf
[5] R. L. Rivest, A. Shamir, and L. Adleman, “A method for obtaining digital signatures and public-key cryptosystems,” Commun. ACM, vol. 21, no. 2, pp. 120–126 (1978), doi: 10.1145/359340.359342.
[6] Z. Shao, “Signature schemes based on factoring and discrete logarithms,” IEE Proc. Comput. Digit. Tech., vol. 145, no. 1, pp. 33 (1998), doi: 10.1049/ip-cdt:19981773.
[7] S. Inam and R. Ali, “A new ElGamal-like cryptosystem based on matrices over group ring,” Neural Comput. Appl., vol. 29, no. 11, pp. 1279–1283 (2018), doi: 10.1007/s00521-016-2745-2.
[8] S. C. Gupta and M. Sanghi, “A new digital signature scheme using tribonacci matrices,” Int. J. Comput. Inf. Technol., vol. 9, no. 3 (2020), doi: 10.24203/ijcit.v9i3.11.
[9] A. P. Stakhov, “The golden matrices and a new kind of cryptography,” Chaos, Solitons Fractals, vol. 32, pp. 1138–1146 (2007), doi: 10.1016/j.chaos.2006.03.069.
[10] R. Nayak and J. Pradhan, “NTRU digital signature scheme: A matrix approach,” Int. J. Adv. Res. Comput. Sci., vol. 2, no. 1 (2011). [Online]. Available: https://ijarcs.info/index.php/Ijarcs/article/view/255
[11] F. Bani-Ahmad, M. T. A. Shatnawi, Nisaa Tahat, and S. A. Shatnawi, “A new kind of digital signature scheme using golden matrices based on factoring problem,” Int. J. Pure Appl. Math., vol. 107, no. 1 (2016), doi: 10.12732/ijpam.v107i1.5.
[12] U. R. Bodasingi and S. Gunupuru, “New digital signature scheme based on RSA using circulant matrix,” SN Comput. Sci., vol. 4, pp. 275 (2023), doi: 10.1007/s42979-023-01694-4.
[13] M. E. O. Ebadati, F. Eshghi, and A. Zamani, “A hybrid encryption algorithm for security enhancement of wireless sensor networks: A supervisory approach to pipelines,” Comput. Model. Eng. Sci., vol. 122, no. 1, pp. 323–349 (2020), doi: 10.32604/cmes.2020.08079.
[14] A. Ghasemzadeh and O. R. B. Speily, “A novel method for image encryption using modified logistic map,” J. Inf. Syst. Telecommun., vol. 6, no. 4, pp. 220–227 (2018), doi: 10.7508/jist.2018.04.005.
[15] M. Basu and M. Das, “Tribonacci matrices and a new coding theory,” Discrete Math., Algorithms Appl., vol. 6, no. 1 (2014), doi: 10.1142/S1793830914500086.
[16] D. Chaum, “Blind signatures for untraceable payments,” in Advances in Cryptology. Springer (1983). [Online]. Available: https://sceweb.sce.uhcl.edu/yang/teaching/csci5234WebSecurityFall2011/Chaum-blind-signatures.PDF
[17] N. Singh and S. Das, “A novel proficient blind signature scheme using ECC,” IJCA Proc. Int. Conf. ETCC-2014 (2014). [Online]. Available: https://www.ijcaonline.org/proceedings/etcc/number1/17905-1417/
[18] N. Singh and S. Das, “Cryptanalysis of blind signature schemes,” Int. J. Comput. Appl., vol. 71, no. 19 (2013). [Online]. Available: http://paper.ijcsns.org/07_book/201405/20140513.pdf
[19] A. P. Stakhov, V. Massingue, and A. Sluchenkova, Introduction into Fibonacci Coding and Cryptography. Kharkov: Osnova (1999). ISBN: 5-7768-0638-0.
[20] S. Das and P. Chattopadhyay, “Matrix-based cryptographic transformations using Fibonacci and related sequences,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 2, pp. 445–460 (2021).
[21] B. Patel and H. Shah, “Tribonacci and higher-order recurrence relations in secure message encoding,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 3, pp. 611–627 (2023).
[22] P. Sen and R. Kumar, “Secure message representation using matrix exponentiation approaches,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 1, pp. 301–318 (2023).
[23] R. Thakur and M. Gupta, “Efficient key generation techniques for lightweight public-key cryptography,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 23, no. 1, pp. 129–143 (2020).
[24] M. N. Alam, “Performance analysis of low-complexity blind signature protocols with modular arithmetic,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 22, no. 3, pp. 545–559 (2019).




