{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T05:50:41Z","timestamp":1757310641250},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,1,5]],"date-time":"2022-01-05T00:00:00Z","timestamp":1641340800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,5]],"date-time":"2022-01-05T00:00:00Z","timestamp":1641340800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Pers Commun"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s11277-021-09396-x","type":"journal-article","created":{"date-parts":[[2022,1,5]],"date-time":"2022-01-05T00:10:46Z","timestamp":1641341446000},"page":"1109-1122","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An Effective S-box Construction Based on Linear Recurrences with Constant Co-Efficient"],"prefix":"10.1007","volume":"124","author":[{"given":"Nasir","family":"Siddiqui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wajeeha","family":"Iftikhar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Ehatisham Ul","family":"Haq","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,1,5]]},"reference":[{"key":"9396_CR1","volume-title":"Understanding cryptography: A textbook for students and practitioners","author":"C Paar","year":"2009","unstructured":"Paar, C., & Pelzl, J. (2009). Understanding cryptography: A textbook for students and practitioners. NewYork: Springer."},{"key":"9396_CR2","volume-title":"Mathematics for the analysis of algorithms","author":"DH Greene","year":"2007","unstructured":"Greene, D. H., & Knuth, D. E. (2007). Mathematics for the analysis of algorithms. NewYork: Springer."},{"issue":"5","key":"9396_CR3","first-page":"611","volume":"14","author":"M Sarfraz","year":"2016","unstructured":"Sarfraz, M., Hussain, I., Ali, F., & Rasheed, A. (2016). A mobius transformation based algorithm for the construction of cryptographically strong 131028 S-boxes having highly nonlinear. International Journal of Computer Science and Information Security, 14(5), 611.","journal-title":"International Journal of Computer Science and Information Security"},{"key":"9396_CR4","doi-asserted-by":"crossref","unstructured":"Ahmad, M., Haleem, H., & Khan, P. M. (2014). A new chaotic substitution box design for block ciphers. In\u00a02014 International Conference on Signal Processing and Integrated Networks (SPIN)\u00a0(pp. 255\u2013258). IEEE.","DOI":"10.1109\/SPIN.2014.6776958"},{"issue":"1","key":"9396_CR5","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1186\/1687-1847-2012-126","volume":"2012","author":"JS Han","year":"2012","unstructured":"Han, J. S., Kim, H. S., & Neggers, J. (2012). On Fibonacci functions with Fibonacci numbers. Advances in Difference Equations, 2012(1), 126.","journal-title":"Advances in Difference Equations"},{"key":"9396_CR6","doi-asserted-by":"publisher","DOI":"10.1201\/b10576","volume-title":"generatingfunctionology","author":"HS Wilf","year":"2005","unstructured":"Wilf, H. S. (2005). generatingfunctionology. CRC Press."},{"issue":"3","key":"9396_CR7","doi-asserted-by":"publisher","first-page":"437","DOI":"10.3390\/sym11030437","volume":"11","author":"AH Zahid","year":"2019","unstructured":"Zahid, A. H., & Arshad, M. J. (2019). An innovative design of substitution-boxes using cubic polynomial mapping. Symmetry, 11(3), 437.","journal-title":"Symmetry"},{"issue":"3","key":"9396_CR8","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1007\/s13319-017-0135-x","volume":"8","author":"S Farwa","year":"2017","unstructured":"Farwa, S., Muhammad, N., Shah, T., & Ahmad, S. (2017). A novel image encryption based on algebraic S-box and Arnold transform. 3D Research, 8(3), 26.","journal-title":"3D Research"},{"key":"9396_CR9","volume-title":"The design of Rijndael: AES-the advanced encryption standard","author":"J Daemen","year":"2013","unstructured":"Daemen, J., & Rijmen, V. (2013). The design of Rijndael: AES-the advanced encryption standard. NewYork: Springer."},{"issue":"3","key":"9396_CR10","first-page":"751","volume":"3","author":"L Cui","year":"2007","unstructured":"Cui, L., & Cao, Y. (2007). A new S-box structure named affine-power-affine. International Journal of Innovative Computing, Information and Control, 3(3), 751\u2013759.","journal-title":"International Journal of Innovative Computing, Information and Control"},{"key":"9396_CR11","doi-asserted-by":"crossref","unstructured":"Tran, M. T., Bui, D. K., & Duong, A. D. (2008). Gray S-box for advanced encryption standard. In\u00a02008 International Conference on Computational Intelligence and Security\u00a0(Vol. 1, pp. 253\u2013258). IEEE.","DOI":"10.1109\/CIS.2008.205"},{"issue":"26","key":"9396_CR12","first-page":"1263","volume":"5","author":"I Hussain","year":"2010","unstructured":"Hussain, I., Shah, T., & Mahmood, H. (2010). A new algorithm to construct secure keys for AES. International Journal of Contemporary Mathematical Sciences, 5(26), 1263\u20131270.","journal-title":"International Journal of Contemporary Mathematical Sciences"},{"issue":"11","key":"9396_CR13","first-page":"2385","volume":"13","author":"I Hussain","year":"2011","unstructured":"Hussain, I., Shah, T., Gondal, M. A., & Wang, Y. (2011). Analyses of SKIPJACK S-box. World Applied Sciences Journal, 13(11), 2385\u20132388.","journal-title":"World Applied Sciences Journal"},{"issue":"1","key":"9396_CR14","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/s00521-012-0914-5","volume":"23","author":"I Hussain","year":"2013","unstructured":"Hussain, I., Shah, T., Gondal, M. A., Khan, W. A., & Mahmood, H. (2013). A group theoretic approach to construct cryptographically strong substitution boxes. Neural Computing and Applications, 23(1), 97\u2013104.","journal-title":"Neural Computing and Applications"},{"key":"9396_CR15","doi-asserted-by":"crossref","unstructured":"Abuelyamam, E. S. (2013). Residues of prime numbers as entries for the S-Box. In\u00a02013 International Conference On Computing, Electrical And Electronic Engineering (ICCEEE)\u00a0(pp. 584\u2013588). IEEE.","DOI":"10.1109\/ICCEEE.2013.6634005"},{"issue":"2","key":"9396_CR16","first-page":"111","volume":"48","author":"I Hussain","year":"2011","unstructured":"Hussain, I., Shah, T., Mahmood, H., Gondal, M. A., & Bhatti, U. Y. (2011). Some analysis of S-box based on residue of prime number. Proc Pak Acad Sci, 48(2), 111\u2013115.","journal-title":"Proc Pak Acad Sci"},{"issue":"12","key":"9396_CR17","doi-asserted-by":"publisher","first-page":"2650","DOI":"10.3390\/app8122650","volume":"8","author":"L Liu","year":"2018","unstructured":"Liu, L., Zhang, Y., & Wang, X. (2018). A novel method for constructing the S-box based on spatiotemporal chaotic dynamics. Applied Sciences, 8(12), 2650.","journal-title":"Applied Sciences"},{"issue":"6","key":"9396_CR18","doi-asserted-by":"publisher","first-page":"1335","DOI":"10.1007\/s11760-013-0577-4","volume":"9","author":"M Khan","year":"2015","unstructured":"Khan, M., & Shah, T. (2015). An efficient construction of substitution box with fractional chaotic system. Signal, Image and Video Processing, 9(6), 1335\u20131338.","journal-title":"Signal, Image and Video Processing"},{"key":"9396_CR19","unstructured":"Cheung, J. M. (2010).\u00a0The design of S-boxes\u00a0(Doctoral dissertation, Sciences)."},{"issue":"4","key":"9396_CR20","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1140\/epjp\/i2018-11987-x","volume":"133","author":"I Hussain","year":"2018","unstructured":"Hussain, I., Anees, A., Aslam, M., Ahmed, R., & Siddiqui, N. (2018). A noise resistant symmetric key cryptosystem based on S 8 S-boxes and chaotic maps. The European Physical Journal Plus, 133(4), 167.","journal-title":"The European Physical Journal Plus"},{"issue":"11","key":"9396_CR21","first-page":"2389","volume":"13","author":"I Hussain","year":"2011","unstructured":"Hussain, I., Shah, T., Gondal, M. A., & Khan, W. A. (2011). Construction of cryptographically strong 8\u00d7 8 S-boxes. World Applied Sciences Journal, 13(11), 2389\u20132395.","journal-title":"World Applied Sciences Journal"},{"key":"9396_CR22","first-page":"1","volume":"1","author":"N Siddiqui","year":"2020","unstructured":"Siddiqui, N., Naseer, A., & Ehatisham-ul-Haq, M. (2020). A novel scheme of substitution-box design based on modified Pascal\u2019s triangle and elliptic curve. Wireless Personal Communications, 1, 1\u201316.","journal-title":"Wireless Personal Communications"}],"container-title":["Wireless Personal Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-021-09396-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11277-021-09396-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-021-09396-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,6]],"date-time":"2022-05-06T22:21:17Z","timestamp":1651875677000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11277-021-09396-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,5]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["9396"],"URL":"https:\/\/doi.org\/10.1007\/s11277-021-09396-x","relation":{},"ISSN":["0929-6212","1572-834X"],"issn-type":[{"value":"0929-6212","type":"print"},{"value":"1572-834X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,5]]},"assertion":[{"value":"14 November 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 January 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}