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The initial phase of the algorithm involves the consolidation of multiple images to form a single augmented image, which is then subjected to the first layer of encryption. This layer employs an encryption key and an S-box generated through a Memristive Coupled Neural Network Model (MCNNM), establishing a strong foundation for security. Following this, the novel integration of Moore\u2019s Automaton with Gold sequences is applied as a confusion mechanism, intrinsically scrambling the image structure to effectively disrupt pixel correlations. The encryption process iterates over\n                    <jats:italic>N<\/jats:italic>\n                    cycles, significantly deepening the level of encryption with each iteration. Performance evaluations reflect a considerable key space of\n                    <jats:inline-formula>\n                      <jats:tex-math>$$2^{2020}$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    and a high encryption rate of 15.5 Mbps, while rigorous statistical tests validate the algorithm\u2019s resilience. The encryption system proposed in this manuscript not only ensures a formidable level of security but is also pragmatically designed for application in the protection of sensitive healthcare data.\n                  <\/jats:p>","DOI":"10.1038\/s41598-025-29296-5","type":"journal-article","created":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T16:06:29Z","timestamp":1765555589000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Hyperchaos and the fusion of Moore\u2019s automaton with gold sequences for augmented medical image encryption"],"prefix":"10.1038","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3690-9585","authenticated-orcid":false,"given":"Mohamed","family":"Gabr","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4228-5174","authenticated-orcid":false,"given":"Eyad","family":"Mamdouh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7530-498X","authenticated-orcid":false,"given":"Dina","family":"El-Damak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2499-018X","authenticated-orcid":false,"given":"Minar","family":"El-Aasser","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6159-4971","authenticated-orcid":false,"given":"Wassim","family":"Alexan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-2404-8459","authenticated-orcid":false,"given":"Amr","family":"Aboshousha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,12,12]]},"reference":[{"key":"29296_CR1","doi-asserted-by":"crossref","unstructured":"El-Damak, D. et al. 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