SPN based RGB image encryption over Gaussian integers.

Area of Science:

• Cryptography
• Number Theory
• Computer Science

Background:

• Traditional S-boxes face challenges in achieving desired cryptographic strength.
• Gaussian integers offer unique mathematical properties for cryptographic applications.

Purpose of the Study:

• To propose a novel method for constructing S-boxes over Gaussian integers.
• To evaluate the cryptographic strength and efficiency of these S-boxes.
• To demonstrate their application in image encryption using a substitution-permutation network (SPN).

Main Methods:

• Construction of S-boxes leveraging the arithmetic properties of Gaussian integers.
• Integration of these S-boxes into an SPN for image scrambling.
• Analysis of cryptographic properties including confusion and diffusion.

Main Results:

• The proposed S-boxes exhibit strong cryptographic properties, enhancing security.
• The Gaussian integer-based SPN provides efficient image encryption and decryption.
• The scheme demonstrates robustness against common cryptanalytic attacks.

Conclusions:

• Novel S-boxes over Gaussian integers offer a promising approach for secure image encryption.
• This method enhances cryptographic strength and efficiency in SPNs.
• Further research into Gaussian integer-based cryptography is warranted.