Research Article

Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography

Volume: 15 Number: 3 September 30, 2026

Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography

Abstract

In digital image steganography, the primary aim is to embed information imperceptibly while ensuring reliable recovery under degradations encountered during storage, processing, or transmission. Conventional DCT-based approaches are inherently limited, as each bit is typically embedded into a single transform coefficient, making them highly sensitive to distortions such as Gaussian noise, JPEG compression, and resampling. To address this limitation, this study proposes an adaptive multi-coefficient QIM-based embedding framework. In the proposed method, each bit is distributed across multiple mid-frequency DCT coefficients within the same 8×8 block, thereby reducing sensitivity to coefficient-level distortions and improving decision stability. The embedding strength is adaptively controlled based on block variance, enabling a balance between robustness and perceptual quality. In addition, the embedded bitstream is processed using XOR-based pseudo-random encryption and Hamming error correction to mitigate random bit errors. This method is evaluated under Gaussian noise, JPEG compression, and resampling to reflect practical operating conditions. Experimental results show that the proposed approach maintains high visual quality (PSNR ≈ 46–59 dB) while providing more stable bit recovery compared to single-coefficient strategies. The results indicate that it achieves low error rates under JPEG compression and consistent performance under Gaussian noise, whereas resampling remains more challenging due to geometric distortions. The results show that combining adaptive embedding, multi-coefficient redundancy, and error correction improves performance consistency across distortions, although robustness varies with the degradation type.

Keywords

Ethical Statement

The study is complied with research and publication ethics.

References

  1. J. Fridrich, Steganography in Digital Media: Principles, Algorithms, and Applications, Cambridge, U.K.: Cambridge Univ. Press, 2009.
  2. I. Cox, M. Miller, J. Bloom, J. Fridrich, and T. Kalker, Digital Watermarking and Steganography, 2nd ed., Burlington, MA, USA: Morgan Kaufmann, 2008.
  3. S. D. Lin and C. F. Chen, “A robust DCT-based watermarking for copyright protection,” IEEE Transactions on Consumer Electronics, vol. 46, no. 3, pp. 415–421, 2000.
  4. F. Y. Shih, Digital Watermarking and Steganography: Fundamentals and Techniques, Boca Raton, FL, USA: CRC Press, 2017.
  5. Y. Zhang, X. Luo, Y. Guo, C. Qin, and F. Liu, “Multiple robustness enhancements for image adaptive steganography in lossy channels,” IEEE Transactions on Circuits and Systems for Video Technology, vol. 30, no. 8, pp. 2750–2764, 2019.
  6. J. Liu, X. Song, G. Li, and K. Han, “Robust JPEG image steganography using wavelet domain SVD and adaptive QIM,” International Conference on Signal and Image Processing (ICSIP), IEEE, Jul. 2023, pp. 434–438.
  7. N. Hasan, S. Islam, and T. Begum, “Secure watermarking using adaptive QIM with local coefficient magnitudes in the frequency domain with PUF-based encryption,” International Symposium on Networks, Computers and Communications (ISNCC), IEEE, Oct. 2025, pp. 1–6.
  8. N. Kazakova, R. Shevchuk, A. Sokolov, D. Yevdokymov, K. Marczak, and B. Smailova, “Adaptive code-controlled steganography with enhanced robustness to JPEG compression,” Symmetry, vol. 18, no. 4, p. 632, 2026.

Details

Primary Language

English

Subjects

Quantum Computers

Journal Section

Research Article

Publication Date

September 30, 2026

Submission Date

December 10, 2025

Acceptance Date

August 25, 2026

Published in Issue

Year 2026 Volume: 15 Number: 3

APA
Ülker, M. (2026). Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 15(3), 1053-1068. https://doi.org/10.17798/bitlisfen.1839833
AMA
1.Ülker M. Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15(3):1053-1068. doi:10.17798/bitlisfen.1839833
Chicago
Ülker, Mehtap. 2026. “Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 (3): 1053-68. https://doi.org/10.17798/bitlisfen.1839833.
EndNote
Ülker M (September 1, 2026) Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 3 1053–1068.
IEEE
[1]M. Ülker, “Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 3, pp. 1053–1068, Sept. 2026, doi: 10.17798/bitlisfen.1839833.
ISNAD
Ülker, Mehtap. “Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15/3 (September 1, 2026): 1053-1068. https://doi.org/10.17798/bitlisfen.1839833.
JAMA
1.Ülker M. Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15:1053–1068.
MLA
Ülker, Mehtap. “Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 3, Sept. 2026, pp. 1053-68, doi:10.17798/bitlisfen.1839833.
Vancouver
1.Mehtap Ülker. Adaptive Multi-Coefficient Quantization Index Modulation in DCT-Based Steganography. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026 Sep. 1;15(3):1053-68. doi:10.17798/bitlisfen.1839833

Bitlis Eren University

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Bitlis Eren University Graduate Institute

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E-mail: fbe@beu.edu.tr