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However, these methods inevitably impair compression efficiency of JPEG images. To balance protection power and compression performance, a novel JPEG image cryptosystem is proposed based on a complex chaotic map. Specifically, a two dimensional coupled Rastrigin complex hyperchaotic map (2D-CRCCM) is studied as the key generator. Meanwhile, the global and group permutation algorithms are designed to prevent the leakage of sensitive information in the adaptive discrete cosine transform (DCT) domain, namely the alternating current coefficients (ACCs) and direct current components (DCCs). Finally, a lightweight binary stream encryption method is presented to further enhance the data security during the transmission process. Experimental results show that the proposed approach effectively mitigates the risk of sensitive information leakage. It also reduces file size increment, maintains format compatibility, and exhibits linear time complexity in worst-case scenarios. Notably, across most compression ratios, our method yields higher PSNR value than others, and better than standard JPEG compression.<\/jats:p>","DOI":"10.1186\/s42400-026-00603-5","type":"journal-article","created":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T08:34:26Z","timestamp":1778747666000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A high fidelity JPEG image compression-cryptosystem via 2D coupled complex argument map and square scrambling"],"prefix":"10.1186","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6360-9038","authenticated-orcid":false,"given":"Yuexi","family":"Peng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhao","family":"Sui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhijun","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaobo","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,5,14]]},"reference":[{"key":"603_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110493","volume":"142","author":"BM AboAlNaga","year":"2021","unstructured":"AboAlNaga BM, Said LA, Madian AH, Radwan AG (2021) Analysis and FPGA of semi-fractal shapes based on complex gaussian map. 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