A novel secret sharing scheme using multiple share images.

Area of Science:

• Cryptography
• Information Security
• Computer Science

Background:

• Secret image sharing is crucial for secure data transmission in various fields.
• Existing schemes often fail with distorted or misplaced shares.
• The definitive correspondence between shares and secrets limits robustness.

Purpose of the Study:

• To propose a novel secret image sharing scheme resilient to share distortions.
• To enhance the efficiency and security of image recovery from shares.
• To address limitations of existing distortion-free and fixed-correspondence methods.

Main Methods:

• Utilizing the generalized Chinese Remainder Theorem (CRT) for secret image sharing.
• Developing a recovery method for distorted shares, considering two distortion categories (share exchange and pixel exchange).
• Establishing conditions for successful recovery of multiple images from distorted shares.

Main Results:

• The proposed scheme effectively recovers original images despite share distortions.
• Demonstrated superior efficiency and security compared to existing CRT and combinatorial methods.
• Identified specific conditions enabling successful recovery from distorted shares.

Conclusions:

• The novel generalized CRT-based secret image sharing scheme offers robust recovery from distorted shares.
• This approach significantly improves upon existing methods in terms of efficiency and security.
• The scheme provides a reliable solution for secure image sharing in practical applications.