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Optical double-image cryptosystem based on generalized singular value decomposition and five-dimensional hyperchaotic

Liao Zhang, Chen Tang, Yuxin Shen

|February 23, 2023

Summary

This summary is machine-generated.

This study introduces an asymmetric optical cryptosystem using generalized singular value decomposition (GSVD) and 5D hyperchaotic maps for secure double-image encryption. The method enhances security and robustness, offering a novel approach to image cryptography.

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

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Published on: September 5, 2019

Area of Science:

Cryptography
Optical Engineering
Information Security

Background:

Existing optical cryptosystems face challenges in security and asymmetry.
Phase-truncation methods are vulnerable to specific attacks.
Hyperchaotic maps offer enhanced randomness but require careful integration.

Purpose of the Study:

To propose a novel asymmetric optical double-image cryptosystem.
To enhance security against known attacks.
To leverage the properties of generalized singular value decomposition (GSVD) and five-dimensional (5D) hyperchaotic maps.

Main Methods:

Decomposition of two plain images into five components using GSVD.
Encoding unitary matrices from GSVD into a complex function.
Modulation using chaotic random phase masks (CRPMs) generated by 5D hyperchaotic maps.
Generation of private key and ciphertext via phase-truncation and amplitude-truncation.

Main Results:

The proposed cryptosystem demonstrates asymmetry through GSVD-generated private keys.
Enhanced security against special attacks compared to existing phase-truncated systems.
Numerical simulations confirm the feasibility and robustness of the encryption scheme.
The system shows potential for extension to multi-image encryption.

Conclusions:

The developed asymmetric optical cryptosystem offers improved security and robustness.
The integration of GSVD and 5D hyperchaotic maps provides a powerful encryption tool.
The cryptosystem is adaptable for encrypting multiple images, showcasing its versatility.