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Some cryptographic properties for a good S-box such as bijection, nonlinearity, SAC (Strict Avalanche Criterion), BIC (Bit Independence Criterion), and differential approximation probability are found to hold in the obtained S-boxes. The analytic results indicated that all the criteria for designing strong S-boxes can be achieved. The comparison of the proposed method for generating S-boxes with other chaos-based schemes indicates that our S-boxes have a better performance with respect to some properties. Finally, the authors give an example of a digital image encryption algorithm using their S-box and the results of image statistical analysis show that the algorithm has the desirable cryptographic properties.<\/p>","DOI":"10.4018\/jcini.2012010105","type":"journal-article","created":{"date-parts":[[2012,5,31]],"date-time":"2012-05-31T14:41:20Z","timestamp":1338475280000},"page":"100-119","source":"Crossref","is-referenced-by-count":3,"title":["A Novel Approach for Designing Dynamical S-Boxes Using Hyperchaotic System"],"prefix":"10.4018","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6800-0064","authenticated-orcid":true,"given":"Jun","family":"Peng","sequence":"first","affiliation":[{"name":"Chongqing University of Science and Technology, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Du","family":"Zhang","sequence":"additional","affiliation":[{"name":"California State University, Sacramento, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaofeng","family":"Liao","sequence":"additional","affiliation":[{"name":"Chongqing University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2432","reference":[{"key":"jcini.2012010105-0","doi-asserted-by":"publisher","DOI":"10.1007\/BF00203967"},{"key":"jcini.2012010105-1","doi-asserted-by":"crossref","unstructured":"Biham, E., & Shamir, A. 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