{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,15]],"date-time":"2025-11-15T17:09:50Z","timestamp":1763226590479,"version":"build-2065373602"},"reference-count":56,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T00:00:00Z","timestamp":1531353600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we present a novel method to construct cryptographically strong bijective substitution-boxes based on the complicated dynamics of a new hyperchaotic system. The new hyperchaotic system was found to have good characteristics when compared with other systems utilized for S-box construction. The performance assessment of the proposed S-box method was carried out based on criteria, such as high nonlinearity, a good avalanche effect, bit-independent criteria, and low differential uniformity. The proposed method was also analyzed for the batch-generation of 8 \u00d7 8 S-boxes. The analyses found that through a proposed purely chaos-based method, an 8 \u00d7 8 S-box with a maximum average high nonlinearity of 108.5, or S-boxes with differential uniformity as low as 8, can be retrieved. Moreover, small-sized S-boxes with high nonlinearity and low differential uniformity are also obtainable. A performance comparison of the anticipated method with recent S-box proposals proved its dominance and effectiveness for a strong bijective S-box construction.<\/jats:p>","DOI":"10.3390\/e20070525","type":"journal-article","created":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T06:39:59Z","timestamp":1531377599000},"page":"525","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":103,"title":["A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes"],"prefix":"10.3390","volume":"20","author":[{"given":"Eesa","family":"Al Solami","sequence":"first","affiliation":[{"name":"Department of Information Technology, University of Jeddah, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4915-9325","authenticated-orcid":false,"given":"Musheer","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8763-7255","authenticated-orcid":false,"given":"Christos","family":"Volos","sequence":"additional","affiliation":[{"name":"Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad Najam","family":"Doja","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mirza Mohd Sufyan","family":"Beg","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Knudsen, L.R., and Robshaw, M.J. 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