{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:29:43Z","timestamp":1761060583439,"version":"3.37.3"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,5,21]],"date-time":"2018-05-21T00:00:00Z","timestamp":1526860800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s10623-018-0493-2","type":"journal-article","created":{"date-parts":[[2018,5,21]],"date-time":"2018-05-21T07:15:09Z","timestamp":1526886909000},"page":"149-162","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["New results on the state cycles of Trivium"],"prefix":"10.1007","volume":"87","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6386-4952","authenticated-orcid":false,"given":"Shiyong","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gongliang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,5,21]]},"reference":[{"key":"493_CR1","unstructured":"Biham E., Dunkelman O.: Cryptanalysis of the A5\/1 GSM Stream Cipher. Cryptology, Proceedings of Indocrypt 00, Computer Science 1977, Springer, New York, pp. 43\u201351 (2000)."},{"key":"493_CR2","first-page":"133","volume-title":"LNCS","author":"J Borghoff","year":"2009","unstructured":"Borghoff J., Knudsen L.R., Stolpe M.: Bivium as a mixed-integer linear programming problem. In: Parker M.G. (ed.) LNCS, vol. 5921, pp. 133\u2013152. Springer, Heidelberg (2009)."},{"key":"493_CR3","doi-asserted-by":"crossref","unstructured":"De Canni\u00e8re C., Preneel B.: Trivium\u2014A Stream Cipher Construction Inspired by Block Cipher Design Principles. eSTREAM, ECRYPT Stream Cipher Project. \n                    http:\/\/www.ecrypt.eu.org\/stream\n                    \n                   (2005).","DOI":"10.1007\/11836810_13"},{"key":"493_CR4","unstructured":"De Canni\u00e8re C., Preneel B.: TRIVIUM Specifications. eSTREAM, ECRYPT Stream Cipher Project. \n                    http:\/\/www.ecrypt.eu.org\/stream\n                    \n                  , Report 2005\/030 (2005)."},{"key":"493_CR5","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/978-3-642-01001-9_16","volume-title":"EUROCRYPT 2009. LNCS","author":"I Dinur","year":"2009","unstructured":"Dinur I., Shamir A.: Cube attacks on weakable black box polynomials. In: Joux A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 278\u2013299. Springer, Heidelberg (2009)."},{"key":"493_CR6","first-page":"502","volume-title":"FSE 2013. LNCS","author":"PA Fouque","year":"2014","unstructured":"Fouque P.A., Vannet T.: Improving key recovery to 784 and 799 rounds of trivium using optimized cube attacks. In: Moriai S. (ed.) FSE 2013. LNCS, vol. 8424, pp. 502\u2013517. Springer, Heidelberg (2014)."},{"key":"493_CR7","unstructured":"Gaj K., Southern G., Bachimanchi R.: Comparison of Hardware Performance of Selected Phase II eSTREAM Candidates. \n                    http:\/\/www.ecrypt.eu.org\/stream\/papersdir\/2007\/026.pdf\n                    \n                   (2007)."},{"issue":"6","key":"493_CR8","doi-asserted-by":"publisher","first-page":"1317","DOI":"10.1142\/S0129054111008738","volume":"22","author":"H Hu","year":"2011","unstructured":"Hu H., Gong G.: Periods on two kinds of nonlinear feedback shift registers with time varying feedback functions. Int. J. Found. Comput. 22(6), 1317\u20131329 (2011).","journal-title":"Int. J. Found. Comput."},{"key":"493_CR9","unstructured":"Lechtaler A.C., Cipriano M., Garc\u00eda E., C\u00e9sar J., Liporace A.M., Malvacio E.: Trivium vs. trivium toy. In: Argentinean Congress on Computer Science\u2014III Workshop Computer Security. ISBN 978-987-3806-05-6. pp. 161\u2013172 (2014)."},{"key":"493_CR10","unstructured":"Maximov A., Biryukov A.: Two trivial attacks on TRIVIUM. In: SASC2007: The State of the Art of Stream Ciphers, pp. 1\u201316 (2007)."},{"key":"493_CR11","unstructured":"Raddum H.: Cryptanalytic Results on Trivium. \n                    http:\/\/www.ecrypt.eu.org\/stream\/papersdir\/2006\/039.ps\n                    \n                   (2007)."},{"key":"493_CR12","unstructured":"SIG Bluetooth. Bluetooth specification. \n                    https:\/\/www.bluetooth.com\/specifications\n                    \n                  ."},{"issue":"3","key":"493_CR13","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1007\/s12095-012-0066-6","volume":"4","author":"L Simpson","year":"2012","unstructured":"Simpson L., Boztas S.: State cycles, initialization and the Trivium stream cipher. Cryptogr. Commun. 4(3), 245\u2013258 (2012).","journal-title":"Cryptogr. Commun."},{"key":"493_CR14","unstructured":"Smart N.: Cryptography: An Introduction. McGraw-Hill Education, New York. ISBN 0-077-09987-7 (2003)."},{"key":"493_CR15","doi-asserted-by":"publisher","first-page":"1231","DOI":"10.1007\/s11424-015-3072-x","volume":"28","author":"Z Wang","year":"2015","unstructured":"Wang Z., Qi W., Tian T.: A note on determine the greatest common subfamily of two NFSRs by Gr\u00f6bner basis. J. Syst. Sci. Complex. 28, 1231\u20131242 (2015).","journal-title":"J. Syst. Sci. Complex."},{"key":"493_CR16","doi-asserted-by":"crossref","unstructured":"Wang H., Zhong J., Lin D.: Linearization of Multi-valued Nonlinear Feedback Shift Registers. \n                    https:\/\/eprint.iacr.org\/\n                    \n                   (2018).","DOI":"10.1155\/2019\/8765970"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-018-0493-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0493-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0493-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T16:13:48Z","timestamp":1558541628000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-018-0493-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,21]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["493"],"URL":"https:\/\/doi.org\/10.1007\/s10623-018-0493-2","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[2018,5,21]]},"assertion":[{"value":"20 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 May 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 May 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}