A design of multiple color image encryption scheme based on finite algebraic structures

Area of Science:

• Cryptography
• Computer Science
• Applied Mathematics

Background:

• Substitution boxes (S-boxes) and permutation boxes (P-boxes) are crucial for confusion in image encryption.
• The nonlinearity of S-boxes directly impacts encryption quality and resistance to attacks.
• Existing methods for constructing S-boxes and P-boxes have limitations in terms of security and uniqueness.

Purpose of the Study:

• To introduce an innovative method for constructing S-boxes and P-boxes.
• To apply these cryptographic components in an image encryption scheme.
• To evaluate the security and effectiveness of the proposed encryption method.

Main Methods:

• Utilizing the algebraic structure of the Galois field (GF(2^8)).
• Applying group action over an 8-bit finite field.
• Employing a bi-linear transformation for S-box and P-box construction.

Main Results:

• The proposed method successfully generates unique, uncorrelated, and secure S-boxes.
• The encryption scheme meets standard cryptographic requirements.
• Experimental results demonstrate superior performance compared to existing schemes.

Conclusions:

• The novel Galois field-based construction provides high-quality S-boxes and P-boxes.
• The proposed image encryption scheme offers robust security and efficiency.
• This method is well-suited for real-time applications with high security demands.