New public-key cryptosystem algorithm based on function composition of matrix
*MaxrizalCorresponding authormaxrizal@atmaluhur.ac.idDepartment of Information Systems Institut Sains Dan Bisnis Atma LuhurDepartment of Information Systems Institut Sains dan Bisnis Atma LuhurPangkalpinang, 33172, IndonesiaView full profile → , Baiq Desy Aniska PrayantiDepartment of Mathematics Universitas Bangka BelitungBangka, 33172, IndonesiaView full profile → , AmriDepartment of Management Information Systems Institut Sains Dan Bisnis Atma Luhur Pangkalpinang, 33172, IndonesiaView full profile → , Bambang AdiwinotoDepartment of Management Information Systems Institut Sains Dan Bisnis Atma LuhurPangkalpinang, 33172, IndonesiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 May 2023
- Published Online:
- 16 Sep 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1862
- Pages:
- 1839–1849
Abstract
Keywords
Subject Classifications
References
[1] D. Ezhilmaran and V. Muthukumaran, “Key Exchange Protocol Using Decomposition Problem In Near Ring,” Gazi Univ. J. Sci., vol. 29, no. 1, pp. 123–127 (2016).
[2] A. V. N. Krishna, A. H. Narayana, and K. M. Vani, “A Novel Approach with Matrix Based Public Key Cryptosystems,” J. Discret. Math. Sci. Cryptogr., vol. 20, no. 2, pp. 407–412 (2017).
[3] M. Andrecut, “A Matrix Public Key Cryptosystem,” https://arxiv.org/abs/1506.00277v1, pp. 1–18 (2015).
[4] Z. Y., E. Luy, and B. Gonen, “Public Key Cryptosystem based on Matrices,” Int. J. Comput. Appl., vol. 182, no. 42, pp. 47–50 (2019).
[5] D. Kahrobaei, C. Koupparis, and V. Shpilrain, “Public Key Exchange Using Matrices Over Group Rings,” Groups, Complexity, Cryptol., vol. 5, no. 1, pp. 97–115 (2013).
[6] M. Yumman, T. Shah, and I. Hussain, “Asymmetric Cryptosystem on Matrix Algebra over a Chain Ring,” Symmetry (Basel)., vol. 13, no. 1, pp. 1–11 (2021).
[7] M. Zeriouh, A. Chillali, and A. Boua, “Cryptography Based on the Matrices,” Bol. Soc. Paran. Mat, vol. 3, no. 3, pp. 75–83 (2019).
[8] M. Maxrizal, “Public Key Cryptosystem Based on Singular Matrix,” Trends Sci., vol. 19, no. 3, p. 2147 (2022).
[9] M. Helal Ahmed, J. Tanti, and S. Pushp, “A Public Key Cryptosystem Using Cyclotomic Matrices,” Coding Theory - Recent Adv. New Perspect. Appl. [Working Title], pp. 1–9 (2021).
[10] M. Kumari, “A model of Public key cryptography using multinacci matrices,” https://arxiv.org/abs/2003.08634v1, pp. 1–12 (2020).
[11] P. M. Sree Parvathi and C. Srinivasan, “Matrix Lie Group as an Algebraic Structure for NTRU Like Cryptosystem,” J. Discret. Math. Sci. Cryptogr., vol. 23, no. 7, pp. 1455–1464 (2020).
[12] K. A. Reddy, B. Vishnuvardhan, Madhuviswanatham, and A. V. N. Krishna, “A Modified Hill Cipher Based on Circulant Matrices,” Procedia Technol., vol. 4, pp. 114–118 (2012).
[13] Maxrizal, I. Gusti Nyoman Yudi Hartawan, P. Jana, and B. Desy Aniska Prayanti, “Modified Public Key Cryptosystem Based on Circulant Matrix,” J. Phys. Conf. Ser., vol. 1503, no. 1 (2020).
[14] J. Liu, H. Zhang, J. Jia, H. Wang, S. Mao, and W. Wu, “Cryptanalysis of an Asymmetric Cipher Protocol Using a Matrix Decomposition Problem,” Sci. China Inf. Sci., vol. 59, no. 5 (2016).
[15] J. Liu, H. Zhang, and J. Jia, “Cryptanalysis of Schemes Based on Polynomial Symmetrical Decomposition,” Chinese J. Electron., vol. 26, no. 6, pp. 1139–1146 (2017).
[16] P. Sundarayya and G. Vara Prasad, “A public key cryptosystem using Affine Hill Cipher under modulation of prime number,” J. Inf. Optim. Sci., vol. 40, no. 4, pp. 919–930 (2019).
[17] C. Meshram and X. Li, “New efficient key authentication protocol for public key cryptosystem using DL over multiplicative group,” J. Inf. Optim. Sci., vol. 39, no. 2, pp. 391–400 (2018).




