Iranian Society of Cryptology The ISC International Journal of Information Security 2008-2045 17 2 2025 07 01 A New Scheme Based on (t,n)-Secret Image Sharing With Steganography Based on Joseph’s Problem and HLR 261 265 219355 10.22042/isecure.2025.219355 EN Zahra Saeidi Cryptography and Data Security Laboratory, School of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Iran Samaneh Mashhadi Cryptography and Data Security Laboratory, School of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Iran Journal Article 2025 04 20 The paper presents a novel approach to Secret Image Sharing (SIS) that combines (t, n)-threshold schemes with steganography, utilizing Joseph’s problem and Homogeneous Linear Recursion (HLR) to enhance security. The methodology involves dividing a secret image into shadow images, embedding these shadows into cover images using a Least Significant Bit (LSB) method guided by Joseph’s problem. The study aims to increase the security of SIS while maintaining high visual quality in the stego images. The authors validate their approach through various experiments, demonstrating that the proposed method improves Peak Signal-to-Noise Ratio (PSNR) and Structural Similarity Index (SSIM) compared to existing methods. https://www.isecure-journal.com/article_219355_64d492cdb3029d725b5e69ca081effda.pdf