Novel Steganographic Method Based on Hermitian Positive Definite Matrix and Weighted Moore–Penrose Inverses
Source abstract
Abstract
In this paper, we describe the concept of a new data-hiding technique for steganography in RGB images where a secret message is embedded in the blue layer of specific bytes. For increasing security, bytes are chosen randomly using a random square Hermitian positive definite matrix, which is a stego-key. The proposed solution represents a very strong key since the number of variants of positive definite matrices of order 8 is huge. Implementing the proposed steganographic method consists of splitting a color image into its R, G, and B channels and implementing two segments, which take place in several phases. The first segment refers to embedding a secret message in the carrier (image or text) based on the unique absolute elements values of the Hermitian positive definite matrix. The second segment refers to extracting a hidden message based on a stego-key generated based on the Hermitian positive definite matrix elements. The objective of the data-hiding technique using a Hermitian positive definite matrix is to embed confidential or sensitive data within cover media (such as images, audio, or video) securely and imperceptibly; by doing so, the hidden data remain confidential and tamper-resistant while the cover media’s visual or auditory quality is maintained.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Advanced Steganography and Watermarking Techniques · Chaos-based Image/Signal Encryption · Cryptography and Data Security
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Computer Sciences, University of Novi Pazar, Dimitrija Tucovića bb, 36300 Novi Pazar, Serbia
Faculty of Engineering and Architecture, International Vision University, 1230 Gostivar, North Macedonia
Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, 11000 Belgrade, Serbia
College of Global Business, Korea University, Sejong 30019, Republic of Korea
Department in Trstenik, Academy of Professional Studies Sumadija, Radoja Krstića 19, 37240 Trstenik, Serbia
References (36)
Show source-provided references
1. Adee, R., and Mouratidis, H. (2022). A dynamic four-step data security model for data in cloud computing based on cryptography and steganography. Sensors, 22.10.3390/s22031109 ↗
2. A Detailed Review Based on Secure Data Transmission Using Cryptography and Steganography10.1007/s11277-023-10183-z ↗
3. A secure cryptosystem using DNA cryptography and DNA steganography for the cloud-based IoT infrastructure10.1016/j.compeleceng.2022.108426 ↗
4. Almomani, I., Alkhayer, A., and El-Shafai, W. (2022). A crypto-steganography approach for hiding ransomware within hevc streams in android IoT devices. Sensors, 22.10.3390/s22062281 ↗
5. Bifold-crypto-chaotic steganography for visual data security
6. Securing matrix counting-based secret-sharing involving crypto steganography
7. Image Privacy Protection Scheme Based on High-Quality Reconstruction DCT Compression and Nonlinear Dynamics10.1016/j.eswa.2024.124891 ↗
8. Novel Approach to Data Encryption based on Matrix Computations
9. Li, H., and Yang, L. (2015, January 4–6). Quantum differential cryptanalysis to the block ciphers. Proceedings of the International Conference on Applications and Techniques in Information Security, Beijing, China.10.1007/978-3-662-48683-2_5 ↗
10. Quantum differential cryptanalysis10.1007/s11128-015-0983-3 ↗
11. Quantum differential and linear cryptanalysis10.46586/tosc.v2016.i1.71-94 ↗
12. Quantum zero correlation linear cryptanalysis10.1007/s11128-022-03642-2 ↗
13. Quantum related-key differential cryptanalysis10.1007/s11128-024-04472-0 ↗
14. Pramanik, S., Ghosh, R., Ghonge, M.M., Narayan, V., Sinha, M., Pandey, D., and Samanta, D. (2021). A novel approach using steganography and cryptography in business intelligence. Integration Challenges for Analytics, Business Intelligence, and Data Mining, IGI Global.10.4018/978-1-7998-5781-5.ch010 ↗
15. Hiding data using efficient combination of RSA cryptography, and compression steganography techniques10.1109/ACCESS.2021.3060317 ↗
16. Securing data in Internet of Things (IoT) using cryptography and steganography techniques10.1109/TSMC.2019.2903785 ↗
17. A safe and secured iris template using steganography and cryptography10.1007/s11042-020-08971-x ↗
18. Hybrid multistage framework for data manipulation by combining cryptography and steganography10.11591/eei.v11i1.3451 ↗
19. A Novel Multi Stego-image based Data Hiding Method for Gray Scale Image
20. Shadow Image Based Reversible Data Hiding Using Addition and Subtraction Logic on the LSB Planes10.1007/s11220-020-00328-w ↗
21. Saračević, M., Jukić, S., and Hasanović, A. (2020). A Steganography Method Based on Decomposition of the Catalan Numbers. Digital Media Steganography—Principles, Algorithms, Advances, Elsevier.10.1016/B978-0-12-819438-6.00016-5 ↗
22. A novel approach to steganography based on the properties of Catalan numbers and Dyck words10.1016/j.future.2019.05.010 ↗
23. A new proof of Greville’s method for computing the weighted MP inverse
24. On the computation of weighted Moore–Penrose inverse using a high-order matrix method10.1016/j.camwa.2013.09.007 ↗
25. Ben-Israel, A., and Greville, T.N. (2003). Generalized Inverses. Theory and Applications, Springer. [2nd ed.].
26. Symbolic computation of weighted Moore-Penrose inverse using partitioning method
27. Computation of generalized inverses using PHP/MySQL environment10.1080/00207160.2010.541453 ↗
28. A recursive algorithm for computing the weighted Moore-Penrose inverse AMN†
29. Saračević, M., Selimi, A., and Pepic, S. (2020). Implementation of Encryption and Data Hiding in E-Health Application. Intelligent Data Processing and Information Security Systems, IGI Global Book. Chapter 2.10.4018/978-1-7998-1290-6.ch002 ↗
30. Cryptographic Keys Exchange Model for Smart City Applications10.1049/iet-its.2019.0855 ↗
31. Source and Channel Models for Secret-key Agreement Based on Catalan Numbers and the Lattice Path Combinatorial Approach
32. How to share a secret10.1145/359168.359176 ↗
33. Hussain, M. (2010, January 14–16). Pixel intensity based high capacity data embedding method. Proceedings of the 2010 International Conference on Information and Emerging Technologies, Karachi, Pakistan.10.1109/ICIET.2010.5625723 ↗
34. A Robust Image Steganography Using DWT Difference Modulation (DWTDM)
35. Inverting linear combinations of identity and generalized Catalan matrices10.1016/j.laa.2010.06.026 ↗
36. Quantum-Assisted Blockchain10.1134/S1995080218070028 ↗