Abstract We report a compressive interference-based encryption (IBE) method using sparsity constraints. In this method, two sparse phase-only masks (POMs) are generated through a modified phase retrieval algorithm under the constraints of two complementary binary amplitude masks (BAMs), and then fused into one ciphertext. For the decryption in the IBE system, the ciphertext bonded with one BAM is placed in the corresponding interference channel. Only if the correct ciphertext and BAMs are arranged at their positions properly, the expected information could be extracted. In contrast to previous IBE methods, the proposal not only reduces the number of ciphertext into one but also breaks the mathematical relation between the plaintext and the ciphertext, which is usually utilized by an illegal user. As a result, both the efficiency and security are reinforced. Some analysis and numerical simulations are conducted to prove the feasibility and effectiveness of the proposal.

中文翻译：

---

基于稀疏约束的压缩干扰图像加密

摘要 我们报告了一种使用稀疏约束的基于压缩干扰的加密 (IBE) 方法。在该方法中，在两个互补二进制幅度掩码 (BAM) 的约束下，通过改进的相位检索算法生成两个稀疏的仅相位掩码 (POM)，然后融合为一个密文。在 IBE 系统中解密时，将与一个 BAM 绑定的密文放置在相应的干扰信道中。只有在正确的密文和 BAM 的位置安排得当，才能提取出预期的信息。与之前的 IBE 方法相比，该提议不仅将密文的数量减少为一个，而且打破了明文和密文之间的数学关系，这通常被非法用户利用。因此，效率和安全性都得到了加强。进行了一些分析和数值模拟，以证明该建议的可行性和有效性。